Question

A professor of management has heard that seven students in his class of 49 have landed an internship for the summer. Suppose he runs into two of his students in the corridor. a. Find the probability that neither of these students has landed an internship. (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) b. Find the probability that both of these students have landed an internship. (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)

Answer 1

Total = 0.7321 (Approx)

Probability that both got internship = 0.0179 (Approx)

Explanation:

1. First student not get internship = (49-7) / 49

First student not get internship = 42 / 49

Second student not get internship = (42-1) / (49-1)

Second student not get internship = 41 / 48

Total = [42 / 49][41 / 48]

Total = 0.7321 (Approx)

2. Probability that both got internship = 7C2/49C2

Probability that both got internship = (7)(6)/(49)(48)

Probability that both got internship = 0.0179 (Approx)