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In a class of 24 students, 6 are female and 12 have an
A in the class. There are 4 students who are female and have an A in the class. What is the probability that a female student has an
A ?
Answer:

In a class of $24$ students, $6$ are female and $12$ have an $A$ in the class. There are $4$ students who are female and have an A in the class. What is the probability that a female student has an $\mathrm{A}$ ? $\newline$ Answer:

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Probability of independent and dependent events

Full solution

Q. In a class of

24

students,

6

are female and

12

have an

A

in the class. There are

4

students who are female and have an A in the class. What is the probability that a female student has an

\mathrm{A}

?

\newline

Answer:

Identify Female Students: First, we need to identify the total number of female students in the class. $\newline$ There are $6$ female students in the class.
Determine A Grades: Next, we need to determine how many of those female students have an A in the class. $\newline$ There are $4$ female students who have an A.
Calculate Probability: Now, we calculate the probability that a female student has an A by dividing the number of female students with an A by the total number of female students. $\newline$ Probability = $\frac{\text{Number of female students with an A}}{\text{Total number of female students}}$ $\newline$ Probability = $\frac{4}{6}$
Simplify Fraction: We simplify the fraction to get the final probability. $\newline$ Probability = $\frac{2}{3}$

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