Question

a history class is comprised of 8 female and 4 male students. if the instructor of the class randomly chooses 9 students from the class for an oral exam, what is the probability that 7 female students and 2 male students will be selected? round your answer to 3 decimal places.

(if necessary, consult a list of formulas.)

Explanation:

Identify the given parameters

Using the Hypergeometric Probability and Combinations knowledge points

$$
LATEXBLOCK0
$$

Calculate the number of favorable outcomes

Using the Combinations knowledge point

$$
LATEXBLOCK1
$$

Calculate the total number of possible outcomes

Using the Combinations knowledge point

$$ \binom{12}{9} = \binom{12}{3} = \frac{12 \times 11 \times 10}{3 \times 2 \times 1} = 220 $$

Calculate the probability

Using the Hypergeometric Probability knowledge point

$$
LATEXBLOCK2
$$

Answer:

A history class is comprised of 8 female and 4 male students. If the instructor of the class randomly chooses 9 students from the class for an oral exam, what is the probability that 7 female students and 2 male students will be selected? Round your answer to 3 decimal places.

(If necessary, consult a list of formulas.)

<blank>0.218</blank>