30 students and 7 professors are walking across campus. 20 of the students and 3

Question

30 students and 7 professors are walking across campus. 20 of the students and 3 of the professors are carrying a textbook. What is the probability that the person carrying a textbook is a professor? 30 students and 7 professors are walking across campus. 20 of the students and 3 of the professors are carrying a textbook. What is the probability that the person carrying a textbook is a professor? 30 students and 7 professors are walking across campus. 20 of the students and 3 of the professors are carrying a textbook. What is the probability that the person carrying a textbook is a professor? 30 students and 7 professors are walking across campus. 20 of the students and 3 of the professors are carrying a textbook. What is the probability that the person carrying a textbook is a professor?

Explanation / Answer

Since it is given that the person is carrying a textbook, then we just look at the 20 students and 3 professors.

Thus,

P(professor|textbook) = 3/(20+3) = 3/23 or 0.130434783 [ANSWER]

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