robability with Or / And $\newline$ Score: $3 / 12$ $\newline$ Penalty: none $\newline$ Question $\newline$ Watch Video $\newline$ Show Examp $\newline$ In a certain Algebra $2$ class of $24$ students, $9$ of them play basketball and $5$ of them play baseball. There are $3$ students who play both sports. What is the probability that a student chosen randomly from the class plays basketball or baseball? $\newline$ Answer Attempt $1$ out of $2$ $\newline$ Submit Answer

Full solution

Q. robability with Or / And

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Score:

3 / 12

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Penalty: none

\newline

Question

\newline

Watch Video

\newline

Show Examp

\newline

In a certain Algebra

2

class of

24

students,

9

of them play basketball and

5

of them play baseball. There are

3

students who play both sports. What is the probability that a student chosen randomly from the class plays basketball or baseball?

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Answer Attempt

1

out of

2

\newline

Submit Answer

Calculate Total Students: Determine the total number of students who play either basketball or baseball. $\newline$ To find the number of students who play either basketball or baseball, we add the number of students who play basketball to the number of students who play baseball and then subtract the number of students who play both sports to avoid double-counting. $\newline$ Number of students playing basketball or baseball = Number of basketball players + Number of baseball players - Number of students playing both sports $\newline$ Calculation: $9$ (basketball players) + $5$ (baseball players) - $3$ (both sports) = $11$
Find Probability: Calculate the probability that a student plays basketball or baseball. $\newline$ The probability is the number of students playing either sport divided by the total number of students in the class. $\newline$ Probability = $\frac{\text{Number of students playing basketball or baseball}}{\text{Total number of students}}$ $\newline$ Calculation: $\frac{11}{24}$