5
QuizMultiple Choice

Conditional Probabilities

Question 5 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)

A recent survey found that 65% of high school students were currently enrolled in a math class, 43% were currently enrolled in a science class, and 13% were enrolled in both a math and a science class. Suppose a high school student who is enrolled in a math class is selected at random. What is the probability that the student is also enrolled in a science class?

Answer
A
0.20
B
0.28
C
0.30
D
0.66

Explanation

Use conditional probability: the probability of being in science given enrollment in math is the proportion of math students who are also in science. Divide the 13% enrolled in both classes by the 65% enrolled in math: 0.13 ÷ 0.65 = 0.20, so the correct choice is 0.20.

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