SOLUTION: A math class consists of 40 students, 23 female and 17 male. Three students are selected at random, one at a time, to participate in a probability experiment (selected in order wit

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Question 1048531: A math class consists of 40 students, 23 female and 17 male. Three students are selected at random, one at a time, to participate in a probability experiment (selected in order without replacement).
(a) What is the probability that a male is selected, then two females?
(b) What is the probability that a female is selected, then two males?
(c) What is the probability that two females are selected, then one male?
(d) What is the probability that three males are selected?
(e) What is the probability that three females are selected?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
40 students, 23 female and 17 male
the idea here is that P = selected/Total
(selected in order (stated) without replacement)
Keep in mind there is 1 less of the selected and 1 less of the Total
for the next selection
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a) P(M, then 2Fs) = %2817%2F40%29%2823%2F39%29%2822%2F38%29
b) P(F, then 2Ms)%2823%2F40%29%2817%2F39%29%2816%2F38%29
c) P(2F, then M) = %2823%2F40%29%2822%2F39%29%2817%2F38%29
d) P(3M) = %2817%2F40%29%2816%2F39%29%2815%2F38%29
e) P(3F) = %2823%2F40%29%2822%2F39%29%2821%2F38%29