I have 8 faculty members 6 are tenured. I need to choose 3 of them to review cur

Question

I have 8 faculty members 6 are tenured. I need to choose 3 of them to review curriculm on my new committee . What is the probability that all members selected will be tenured? What is the pribability that at least one member is not tenured? Please show me the work I do not understand I have 8 faculty members 6 are tenured. I need to choose 3 of them to review curriculm on my new committee . What is the probability that all members selected will be tenured? What is the pribability that at least one member is not tenured? Please show me the work I do not understand

Explanation / Answer

Total number of all possible outcomes in sample space = C(8,3) = 56

Total number of favourable outcomes = C(6,3) = 20

Therefore,

the probability that all members selected will be tenured = 20/56 = 0.3571

b)

P(at least one member not tenured) = 1-P(all members tenured)

= 1 - 0.3571

= 0.6429

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