SOLUTION: A math class consists of 22 students, 12 female and 10 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 1050856: A math class consists of 22 students, 12 female and 10 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!
22 students, 12 female and 10 males
3 selected w/o replacement
RE: TY, what are the "right answers" You are attempting to get?
a) What is the probability that a male is selected, then two females?
P = %2810%2F22%29%2812%2F21%29%2811%2F20%29+=+%28%2810%2A12%2A11%29%2F%2822%2A21%2A20%29%29 = 6/42 = 1/7
Recommend Multiplying numerators and denominators - and then canceling out where You can.
(b) What is the probability that a female is selected, then two males?
P = %2812%2F22%29%2810%2F21%29%289%2F20%29 = 9/77
(c) What is the probability that two females are selected, then one male?
P = %2812%2F22%29%2811%2F21%29%2810%2F20%29 = 1/7
(d) What is the probability that three males are selected?
P = %2810%2F22%29%289%2F21%29%288%2F20%29 = 6/77
(e) What is the probability that three females are selected?
P = %2812%2F22%29%2811%2F21%29%2810%2F20%29 = 1/7