when joe bowls, he can get a strike (knock down all of the pins) 60 percent of the time. how many times more likely is it for joe to bowl at least three strikes out of four times as it is for him to bowl zero strikes out of four tries? round answer to the nearest whole number.
Joe is about 10 times more likely to bowl at least three strikes out of four tries than to bowl zero strikes out of four tries.
To find the probability of Joe bowling at least three strikes out of four tries, we need to consider the different combinations of strikes and non-strikes he can get.
There are four possible outcomes:
- strike, strike, strike, non-strike
- strike, strike, non-strike, strike
- strike, non-strike, strike, strike
- non-strike, strike, strike, strike
The probability of getting a strike is 0.6, and the probability of not getting a strike (a non-strike) is 0.4. So for each outcome, we can calculate the probability as follows:
- Probability of strike, strike, strike, non-strike = 0.6 x 0.6 x 0.6 x 0.4 = 0.0864
- Probability of strike, strike, non-strike, strike = 0.6 x 0.6 x 0.4 x 0.6 = 0.0864
- Probability of strike, non-strike, strike, strike = 0.6 x 0.4 x 0.6 x 0.6 = 0.0864
- Probability of non-strike, strike, strike, strike = 0.4 x 0.6 x 0.6 x 0.6 = 0.0864
To find the probability of Joe bowling at least three strikes, we need to add up the probabilities of the last three outcomes, since they all have at least three strikes:
0.0864 + 0.0864 + 0.0864 = 0.2592
So the probability of Joe bowling at least three strikes out of four tries is 0.2592, or about 26% (rounded to the nearest whole number).
To find the probability of Joe bowling zero strikes, we can use the same approach:
- Probability of non-strike, non-strike, non-strike, non-strike = 0.4 x 0.4 x 0.4 x 0.4 = 0.0256
So the probability of Joe bowling zero strikes out of four tries is 0.0256, or about 3% (rounded to the nearest whole number).
To find how many times more likely it is for Joe to bowl at least three strikes than to bowl zero strikes, we can divide the probability of the first outcome by the probability of the second outcome:
0.2592 / 0.0256 = 10.125
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Which equation has no solution?
|4x - 2| = - 6, |-2 - x| = 9, |3x + 6| = 6, |-2x + 8| = 0
Witch ratio is greater that 5/8
Answer:
well u have to give the picture
Step-by-step explanation:
The center is O. The circumference is 28. 6 centimeters. Use 3. 14 as an approximation for pi
The diameter of the given circle with a circumference of 28.6 centimeters is approximately 9.11 cm.
The circumference of a circle is given by the simple formula: C = πd, where C is the circumference, π is the constant pi and d is the diameter of the circle.
Given that the circumference of the circle is 28.6 cm, we can use the formula to find the diameter:
28.6 = πd
d = 28.6/π
Using 3.14 as an approximation for π, we get:
d ≈ 28.6/3.14 ≈ 9.11
Therefore, the diameter of the circle is approximately 9.11 cm.
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Triangle ABC is similar to triangle DEF what is the length of AC?
Answer:
ac is 18 because it is similar to def
18cm
Step-by-step explanation:
AC =18 ( similar triangle)
n order to eliminate data redundancy and avoid update anomalies, find the 1nf, 2 nf, and 3nf of the following bookorder tables
Without specific table structures and dependencies provided, it is not possible to determine the 1NF, 2NF, and 3NF of the bookorder tables.
Please provide the table structures and dependencies of the bookorder tables to determine their 1NF, 2NF, and 3NF.?To determine the 1NF, 2NF, and 3NF of the bookorder tables, we need to consider the normalization process and identify any dependencies among the attributes. Without the specific table structures and dependencies provided, it is not possible to provide a specific answer. However, in general, the normalization process aims to eliminate data redundancy and update anomalies by organizing data into separate tables based on functional dependencies. In 1NF, each attribute should hold atomic values. In 2NF, non-key attributes should depend on the entire key. In 3NF, non-key attributes should depend only on the key, not on other non-key attributes. The specific normalization steps depend on the specific attributes and dependencies in the given tables.
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The correlation coefficient, r, is a number between a. 0 and 1 b. 0 and [infinity]
c. -[infinity] and [infinity]
d. -10 and 10 e. 0 and 10 f. 0 and 100 g. -1 and 1
The correlation coefficient is measured on a scale that varies from +1 ≤ 0 ≤ -1.
What is correlation?Correlation is a statistical measure that expresses the extent to which two variables are linearly related.The sample correlation coefficient is defined as\(${\displaystyle {\begin{aligned}r_{xy}&={\frac {\sum x_{i}y_{i}-n{\bar {x}}{\bar {y}}}{ns'_{x}s'_{y}}}\\[5pt]&={\frac {n\sum x_{i}y_{i}-\sum x_{i}\sum y_{i}}{{\sqrt {n\sum x_{i}^{2}-(\sum x_{i})^{2}}}~{\sqrt {n\sum y_{i}^{2}-(\sum y_{i})^{2}}}}}.\end{aligned}}}\)
where \({\displaystyle s'_{x}}\) and \({\displaystyle s'_{y}}\) are the uncorrected sample standard deviations of X and Y.
Given is a term as correlation coefficient.
The correlation coefficient is given by -\($r =\frac{\sum\left(x_{i}-\bar{x}\right)\left(y_{i}-\bar{y}\right)}{\sqrt{\sum\left(x_{i}-\bar{x}\right)^{2} \sum\left(y_{i}-\bar{y}\right)^{2}}}\)
where -
\(r\) = correlation coefficient
\(x_{i}\) = values of the x - variable in a sample
\(\bar{x}\) = mean of the values of the x-variable
\(y_{i}\) = values of the y-variable in a sample
\(\bar{y}\) = mean of the values of the y-variable
The correlation coefficient is measured on a scale that varies from +1 through 0 to -1. When one variable increases as the other increases the correlation is positive and when one decreases as the other increases it is negative.Therefore, the correlation coefficient is measured on a scale that varies from +1 ≤ 0 ≤ -1.
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9.
A rocket is launched from the top of a 76-foot cliff with an initial velocity of 135 ft/s. a. Substitute the values into the vertical motion formula h = –16t2 + vt + c. Let h = 0. b. Use the quadratic formula to find out how long the rocket will take to hit the ground after it is launched. Round to the nearest tenth of a second.
A. 0 = –16t2 + 135t + 76; 0.5 s
B. 0 = –16t2 + 76t + 135; 9 s
C. 0 = –16t2 + 76t + 135; 0.5 s
D. 0 = –16t2 + 135t + 76; 9 s
Answer:
The answer is 2.)
Step-by-step explanation:
Given initial velocity=135 ft/s
& cliff=76 foot
Given quadratic equation
⇒ (let h=0 it is given)
⇒
⇒
⇒ t=8.96≈9 s (the other root is negative)
Hence, rocket will take 9 s to hit the ground after launched.
Answer: Choice D
0 = 16t^2 + 135t + 76; 9 s
==============================================
Explanation:
The equation we start with is
\(h = -16t^2 + vt + c\\\\\)
where v is the starting or initial velocity, and c is the starting height.
We're told that v = 135 and c = 76
We let h = 0 to indicate when the object hits the ground, aka the height is 0 ft.
That means the equation updates to \(0 = -16t^2 + 135t + 76\\\\\)
Based on that alone, the answer is between A or D
-------------------
We'll use the quadratic formula to solve for t
We have
a = -16b = 135c = 76So,
\(t = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\t = \frac{-135 \pm \sqrt{135^2 - 4(-16)(76)}}{2(-16)}\\\\t = \frac{-135 \pm \sqrt{23,089}}{-32}\\\\t \approx \frac{-135 \pm 151.9506}{-32}\\\\t \approx \frac{-135 + 151.9506}{-32} \ \text{ or } \ t \approx \frac{-135 - 151.9506}{-32}\\\\t \approx \frac{16.9506}{-32} \ \text{ or } \ t \approx \frac{-286.9506}{-32}\\\\t \approx -0.52971 \ \text{ or } \ t \approx 8.96721\\\\\)
We ignore the negative t value because a negative time duration makes no sense.
The only practical solution here is roughly 8.96721 which rounds to 9.0 or simply 9 when we round to the nearest tenth (one decimal place).
In short, the object will hit the ground at the 9 second mark roughly. Or put another way: the object is in the air for about 9 seconds.
From this, we can see that the final answer is choice D.
Keep in mind that we aren't accounting for any wind resistance. Considering this variable greatly complicates the problem and requires much higher level mathematics. So we just assume that there is no wind at this moment.
For the inequality y < 8 which statement best describes the graph?
There would be a horizontal dotted line on (0,8) and shading would occur below the line.
There would be a horizontal solid line on (0,8) and shading would occur above the line.
There would be a vertical dotted line on (8,0) and shading would occur to the right of the line
There would be a vertical solid line on (8,0) and shading would occur to the left of the line.
Answer:
There would be a horizontal dotted line on (0,8) and shading would occur below the line.
I just took the test and got it right :) hope this helps!
For the given inequality, the best describes the graph is that there would be a horizontal-dotted line on the point (0, 8) and shading occurred below the line. Hence, option A is correct.
What is a graph?In math, graph science is the theory of geometric structures called graphs that are used to represent pairwise different objects. Vertices—also known as nodes or points—that are joined by edges make form a network in this sense.
Undirected graphs, where edges connect two vertices equally, and focused therapy, where edges connect two vertices unevenly, are distinguished.
When the is made, there is the shaded area provided that is made due to intersection of lines and the area below the both the lines and the common that is said to be the shaded area.
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You draw one card from a 52-card deck. Then the card is replaced in the deck and the deck is shuffled, and you draw again. Find the probability of drawing a diamond each time.
Solution:
Given:
A 52-card deck
There are four suits in a standard deck of cards, Clubs, Hearts, Spades, and Diamonds.
There are 13 diamond cards.
Hence,
\(\begin{gathered} \text{Diamond cards = 13} \\ \text{Total cards = 52} \end{gathered}\)Probability is calculated by;
\(\text{Probability}=\frac{n\text{ umber of required outcomes}}{n\text{ umber of total or possible outcomes}}\)Thus, the probability of drawing a diamond on the first draw is;
\(\begin{gathered} \text{Probability of drawing a diamond}=\frac{n\text{ umber of diamond cards}}{\text{total number of cards}} \\ \text{Probability of drawing a diamond}=\frac{13}{52} \\ \text{Probability of drawing a diamond}=\frac{1}{4} \\ P(D_1)=\frac{1}{4} \end{gathered}\)Since two draws are made with replacement, the cards are completed back again before the next draw.
Hence, the probability of drawing a diamond on the second draw is;
\(\begin{gathered} \text{Probability of drawing a diamond}=\frac{n\text{ umber of diamond cards}}{\text{total number of cards}} \\ \text{Probability of drawing a diamond}=\frac{13}{52} \\ \text{Probability of drawing a diamond}=\frac{1}{4} \\ P(D_2)=\frac{1}{4} \end{gathered}\)Therefore, the probability of drawing a diamond each time;
\(\begin{gathered} P(D_1D_2)=\frac{1}{4}\times\frac{1}{4} \\ P(D_1D_2)=\frac{1}{16} \end{gathered}\)ILL GIVE BRAINLIEST
The graph of the function f(x)=−|2x| is translated 4 units down.
What is the equation of the transformed function?
Enter your answer in the box.
g(x)=
g(x)=|3x|+4
Step-by-step explanation:
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the committee needs to obtain data for review and measurement of the process. what would be the best way to catalog the data so it can be used to make meaningful changes?
The committee can best catalog the data so it can be used to make meaningful changes by using a database management system (DBMS).
A database management system (DBMS) is a system that enables users to create, read, update, and delete data in a database. The DBMS is a tool that handles all data-related tasks. Organizations employ a DBMS to keep data organized and easy to access and manage.
DBMS provides a set of computerized tools for managing all types of data. A DBMS allows end-users to extract and analyze data from a database.
The committee can use a database management system to ensure that data is organized and easily retrievable. They can employ a DBMS to streamline data entry and report production for high-quality output.
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A sample has a mean of m = 86. if one new person is added to the sample, what effect will it have on the sample mean?
A sample has a mean of m = 86. if one new person is added to the sample, the sample mean will increase.
There are various mean types in mathematics, particularly in statistics. Each mean helps to summarize a certain set of data, frequently to help determine the overall significance of a specific data set.
Imply a quantity that falls somewhere between the values of the extreme members of a set in mathematics. There are different types of means, and how they are calculated relies on the relationship that is known about or is regarded as governing the other members.
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stack of mail consists of 8 bills, 10 letters, and 6 advertisements. One piece of mail is drawn at random and put aside. Then a second piece of mail is drawn. Find P (both are letters)
INFORMATION:
We know that:
- stack of mail consists of 8 bills, 10 letters, and 6 advertisements.
- One piece of mail is drawn at random and put aside. Then a second piece of mail is drawn.
And we must find P (both are letters)
STEP BY STEP EXPLANATION:
To find the probability, we need to know that we have two events. First, when one piece of mail is drawn at random and put aside and, second, when a second piece of mail is drawn.
These two events are dependent. If A and B are dependent events, P(A and B) = P(A) • P(B after A) where P(B after A) is the probability that B occurs after A has occurred.
So, first
- Probability of A (the first piece is letter)
\(P(A)=\frac{favorable\text{ }cases}{total\text{ cases}}=\frac{10}{24}\)- Probability of B after A
Since A already occurred and one piece of the mail was drawn (a letter), now in total we would have 9 letter and 23 total pieces
\(P(B\text{ after }A)=\frac{9}{23}\)Finally, replacing in the initial formula
\(P(A\text{ and }B)=\frac{10}{24}\cdot\frac{9}{23}=\frac{90}{552}=0.1630\)Finally, the probability would be 0.1630
ANSWER:
P (both are letters) = 0.1630
Find the measure of angle D.
Answer:
Step-by-step explanation:
3x4
if y=3x-2, find y when x= -11 a. 3 b. 2 c. -2 d. -3
Answer:
-35
Step-by-step explanation:
Not in Option, actually because x=-11
if y=3(-11)-2
then y = -33-2
y = -35
The picture shows the formula for standard deviation. What does x represent in the formula
The value x in the formula represents the value of each observation of the data-set.
What are the mean and the standard deviation of a data-set?The mean of a data-set is given by the sum of all values in the data-set, divided by the cardinality of the data-set, which is the number of values in the data-set.The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, divided by the cardinality of the data-set.More can be learned about standard deviation at https://brainly.com/question/24298037
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Tina says that 7:2 is equivalent to 49:4. What did Tina do wrong?
Answer:
She didn't do her math right.
Step-by-step explanation:
I hope this helps! Please give me brainliest!
is the line through (-2, 4, 0 and (1, 1, 1) perpendicular to the line through (2, 3, 4) and (3, 21, -8)?
AB is not perpendicular to CD
What does perpendicular mean ?Perpendicular lines are two separate lines that cross one other at a right angle, or a 90° angle. Example: Because AB and XY overlap at a 90° angle, AB is perpendicular to XY in this instance.
Does perpendicular means opposite?Lines that cross one other at an angle are known as perpendicular lines. Their slopes are the reciprocal opposites of one another.
Given A (-2, 4, 0),B(1, 1, 1),C(2, 3, 4),D (3, 21, -8)
(-1,3,-1) for AB
(-1,-18,12) for CD
For the lines AB and CD to be perpendicular
a 1a2+b1b2+c1c2=0
-1(-1)+3(-18)+(-1)(12)
=1-54−12=-65not equal to 0
∴ AB not perpendicular to CD
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Find the greatest common factor of 14a and 11a^2
Answer:
a
Step-by-step explanation:
Determine each pair of triangles is congruent. If yes,include the theorem that applies
The pair of triangles in option A, C and D are congruent triangles.
What is triangle?
A triangle is a polygon with three edges and three vertices. It's one of the introductory shapes in figure. A triangle with vertices A, B, and C is denoted triangle Alphabet. In Euclidean figure, any three points, whennon-collinear, determine a unique triangle and contemporaneously, a unique aeroplane.
What is congruent triangle?
SSS: When all three sides are equal to each other on both triangles, the triangle is harmonious. AAS: If two angles and anon-included( you can suppose of it as outside) side of one triangle are harmonious to the corresponding corridor of another triangle, also the triangles are harmonious.
A) In the given figure, two angles and one side of the one triangle is equal to two angles and one side of the other triangle
By AAS consonance, two triangles are harmonious.
B) In the given figure, one angle and one side is equal
So, two triangles aren't harmonious
C) Then, two sides and one included angle of the one triangle is equal to two sides and one included angle of the other triangle
D) Then, two angles and one included side of the one triangle is equal to two angles and one included side of the other triangle.
thus, the brace of triangles in option A, C and D are harmonious triangles.
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Select the equation in slope-intercept form for the line through points (5, - 3) and (10, - 2) and is perpendicular to the line described by y = - 5x + 4
Answer:
y = x/5 - 4
second option is the correct answer.
Step-by-step explanation:
y = -5x+4
y = mx+b
m = -5
Now
Slope of the line perpendicular to a line would be the negative proprtional of the slope of the line.
so,
For the points (5,-3) and (10,-2)
m = 1/5
y = mx + b
or, -3 = 1/5 × x + b
or, -3 = 1/5 × 5 + b
or, -3 = 1+b
so, b = -4
Now,
y = mx+b
or, y = 1/5 × x + (-4)
or, y = x/5 - 4
Find the all points on the graph of the function f(x)=(x−1)(x2−8x+7) where the tangent line is horizonta a) y=5√x+3/x2+1/3√x+21 b) y=(x3+2x−1)(3x+5) s(t)=t3−9t2+15t+25 for 0≤t≤6.
It seems that neither option a) nor b) satisfies the condition of having a horizontal tangent line at the points (5, f(5)) and (1, f(1)).
To find the points on the graph of the function where the tangent line is horizontal, we need to find the values of x for which the derivative of the function is equal to zero.
a) Function: f(x) = (x - 1)(x^2 - 8x + 7)
Let's find the derivative of f(x) first:
f'(x) = (x^2 - 8x + 7) + (x - 1)(2x - 8)
= x^2 - 8x + 7 + 2x^2 - 10x + 8
= 3x^2 - 18x + 15
To find the points where the tangent line is horizontal, we set the derivative equal to zero and solve for x:
3x^2 - 18x + 15 = 0
We can simplify this equation by dividing all terms by 3:
x^2 - 6x + 5 = 0
Now, we can factor this quadratic equation:
(x - 5)(x - 1) = 0
Setting each factor equal to zero gives us two possible values for x:
x - 5 = 0
--> x = 5
x - 1 = 0
--> x = 1
So, the points on the graph of f(x) where the tangent line is horizontal are (5, f(5)) and (1, f(1)).
To check the options given, let's substitute these points into the functions and see if the tangent line equations are satisfied:
a) y = 5√x + 3/x^2 + 1/(3√x) + 21
For x = 5:
y = 5√(5) + 3/(5^2) + 1/(3√(5)) + 21
≈ 14.64
For x = 1:
y = 5√(1) + 3/(1^2) + 1/(3√(1)) + 21
≈ 26
b) y = (x^3 + 2x - 1)(3x + 5)
For x = 5:
y = (5^3 + 2(5) - 1)(3(5) + 5)
= 7290
For x = 1:
y = (1^3 + 2(1) - 1)(3(1) + 5)
= 21
Based on the calculations, it seems that neither option a) nor b) satisfies the condition of having a horizontal tangent line at the points (5, f(5)) and (1, f(1)).
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A computer technician notes that 45% of computers fail because of the hard drive, 15%because of the monitor, 22% because of a disk drive and 18% because of the microprocessorIf the problem is not because of the disk drive, what is the probability that it is in the harddrive?
You have the following predictions
\(\begin{gathered} P(X=HDrive)=0,45 \\ P(X=Monitor)=0.15 \\ P(X=DDrive)=0.22 \\ P(X=Microprocessor)=0.18 \end{gathered}\)Now, you need to now the probabily that your computer fails by the hard drive after discard the disk drive option, so it means is the conditional probability
\(P(X=HDrive|X\ne Drive)=P(X=HDrive|X=HDrive,or,Monitor,or,Microprocessor)\)Remember that
\(P(A|B)=\frac{P(A\cap B)}{P(B)}\)Then the probability that you need is the following
\(\frac{0.45}{0.45+0.15+0.18}=\frac{0.45}{0,78}\approx0.5769\)The answer is 0,5769
2 2.1 Mathematical intro show that there is another form for spherical harmonics: 1 3 3 Y₁ x iy 1/√√2 (²-1) 2πT 2π 1 3 3 z YO 2 2π π r 1 3 x iy Y₁¹ 3 2π - - 12 √ √ 2² (²+²) 2 2π
Spherical harmonics are an integral part of quantum mechanics. They describe the shape of the orbitals, which electrons occupy in atoms. Moreover, the spherical harmonics provide the angular distribution of a wave in spherical coordinates. In 3D, the spherical harmonics can be written as:
Ylm(θ, φ) = √(2l + 1)/(4π) * √[(l - m)!/(l + m)!] * Plm(cosθ) * e^(imφ)
Here, l and m are known as the angular quantum numbers. They define the shape and orientation of the orbital. Plm(cosθ) represents the associated Legendre polynomial, and e^(imφ) is the exponential function. The spherical harmonics have various forms, including:
Y1,1 = -Y1,-1 = 1/2 √(3/2π) sinθe^(iφ)
Y1,0 = 1/2 √(3/π)cosθ
Y2,2 = 1/4 √(15/2π)sin²θe^(2iφ)
Y2,1 = -Y2,-1 = 1/2 √(15/2π)sinθcosφ
Y2,0 = 1/4 √(5/π)(3cos²θ-1)
Y0,0 = 1/√(4π)
The spherical harmonics have various applications in physics, including quantum mechanics, electrodynamics, and acoustics. They play a crucial role in understanding the symmetry of various systems. Hence, the spherical harmonics are an essential mathematical tool in modern physics. Thus, this is how one can show another form for spherical harmonics.
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A soccer field is 120 meters long. A soccer player rins from one end of the field to the other end 5 times.
How many centimeters did he run?
Answer: Should be 140000 cm
Step-by-step explanation:I may be wrong but 240 x 5 is 1400 and that to cm is 140000
Answer:
60,000 cm
Step-by-step explanation:
1 m = 100 cm
So, 120 m = 12,000 cm.
120 m (5 times) = 600 m
600 m = 100 (600)
= 60,000 cm
Bo is buying a board game that usually costs B dollars. The game is on sale, and the price has been reduced by 18%, percent.Which of the following expressions could represent how much Bo pays for the game? 2 awnsers
Answer:
\(0.82B\)
or
\(B-0.18B\)
Step-by-step explanation:
When the price has been reduced by 18%, you can either say that the price is 82% of the original price (100-18), or that you've subtracted 18% of the original price from the original price.
Option A. 82% of the original price
Reduction: \(18\%\)
% of original price: \(100\% - 18\% = 82\% = 0.82\)
Since the original price is B, the on-sale price can be expressed as:
\(0.82 * B = 0.82B\)
Option B. Subtracting 18%:
Reduction: 18% of B = \(0.18 * B\)
Original price is B.
Original price minus the reduction:
\(B - 0.18 * B\)
Answer:
what the Dino said
Step-by-step explanation:
The two right rectangular prisms below have different volumes.
What is the difference in volume, in cubic feet, of the two prisms?
Answer:
Step-by-step explanation:
I NEED AN ANSWER ASAP PLEASE
Step-by-step explanation:
the correct answer is option a 6a-7
A video game randomly chooses your car color and type. The probability of
getting a red car is 0.25, and the probability of getting a convertible is 0.40.
Event A = You get a red car.
Event B = You get a convertible.
A and B are independent events if
A. The probability of getting a red car or a convertible is 0.10.
B. The probability of getting a red car or a convertible is 0.65.
C. The probability of getting a red convertible is 0.10.
D. The probability of getting a red convertible is 0.
The correct option regarding the probabilities of the two events when they are independent are given by:
C. The probability of getting a red convertible is 0.10.
What is the probability of independent events?If two events, A and B, are independent, the probability of both events happening is the multiplication of the separate probabilities of each event happening, that is.
P(A and B) = P(A) x P(B).
For this problem, the separate probabilities are given by:
P(A) = 0.25.P(B) = 0.40.Then, for them to be independent, we need that:
P(A and B) = 0.25 x 0.40 = 0.10.
A and B means a red convertible car, hence the correct option is:
C. The probability of getting a red convertible is 0.10.
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