D.8 Questions 21-30 are 5 points each. Show complete details to get full credits

Question

D.8 Questions 21-30 are 5 points each. Show complete details to get full credits. 21. A committee of 6 members will be selected from a pool of 20 candidates, of those 8 are male. What is the probability to get an all females committee? Round to the nearest thousandth. 22. Among the 500 students in a high school, 200 students take a Statistics course, and 300 take a Biology course. One hundred students take both courses at the same time. Randomly choose a high school student, what is the probability that s/he takes either Statistics or Biology?

Explanation / Answer

Number of ways to select 6 out of 20 = C(20,6) = 38760

Nuber of ways to select 6 women out of 12 = C(12,6) = 924

P(all females ) = 924/38760 = 0.024

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