At a certain college, 28% of the students major in engineering, 18% play club sports, and 8% both major in engineering and play club sports. A student is selected at random. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Given that the student is majoring in engineering, what is the probability that the student plays club sports

Question

Emmy Cain

Mathematics

14 July, 15:36

At a certain college, 28% of the students major in engineering, 18% play club sports, and 8% both major in engineering and play club sports. A student is selected at random. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Given that the student is majoring in engineering, what is the probability that the student plays club sports

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Answers (1)

Know the Answer?

Alijah · Answer 1

Answers: 0.286

Explanation:

Let E → major in Engineering

Let S → Play club sports

P (E) = 28% = 0.28

P (S) = 18% = 0.18

P (E ∩ S) = 8% = 0.08

Probability of student plays club sports given majoring in engineering,

P (S | E) = P (E ∩ S) : P (E) = 0.08 : 0.28 = 0.286