Expert Q&A; Done Questions 21-30 are 5 points each. Show complete details to get

Question

Expert Q&A; Done 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

21)

total number of combinations = 20C6 = 38760

number of female = 20 -8 = 12

total number of female committees

= 12C6 = 924

probability = 924/38760

= 0.024

22)

no(either statistics or biology)

= 200 + 300 - 100

= 400

probability = 400/500 = 0.8

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