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In a class of 23 students, 9 are female and 18 have an A in the class. There are 7 students who are female and have an
A in the class. What is the probability that a student chosen randomly from the class is a male?
Answer:

In a class of $23$ students, $9$ are female and $18$ have an A in the class. There are $7$ students who are female and have an $\mathrm{A}$ in the class. What is the probability that a student chosen randomly from the class is a male? $\newline$ Answer:

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Probability of independent and dependent events

Full solution

Q. In a class of

23

students,

9

are female and

18

have an A in the class. There are

7

students who are female and have an

\mathrm{A}

in the class. What is the probability that a student chosen randomly from the class is a male?

\newline

Answer:

Determine Male Students: First, we need to determine the total number of male students in the class. Since there are $23$ students in total and $9$ are female, we can subtract the number of female students from the total number of students to find the number of male students. $\newline$ Number of male students $=$ Total number of students $-$ Number of female students $\newline$ Number of male students $= 23 - 9$ $\newline$ Number of male students $= 14$
Calculate Probability: Next, we calculate the probability of randomly choosing a male student from the class. The probability of an event is the number of favorable outcomes divided by the total number of outcomes. $\newline$ Probability of choosing a male student $=$ Number of male students $/$ Total number of students $\newline$ Probability of choosing a male student $=$ $14 / 23$

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