SOLUTION: A bag of 10 jellybeans consists of 6 cherry and 4 licorice. 3 jellybeans are selected. a.Find the probability that 2 cherry and 1 licorice are selected. b.Find the probability

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Question 866995: A bag of 10 jellybeans consists of 6 cherry and 4 licorice. 3 jellybeans are selected.
a.Find the probability that 2 cherry and 1 licorice are selected.
b.Find the probability that all 3 are licorice.

Answer by stanbon(75887) (Show Source):
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A bag of 10 jellybeans consists of 6 cherry and 4 licorice. 3 jellybeans are selected.
a.Find the probability that 2 cherry and 1 licorice are selected.
# of ways to succeed:: 6C2*4C1 = 15*4 = 60
# of random triples:: 13C3 = 286
P(2 cherry and 1 lic) = 60/286 = 0.2098
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b.Find the probability that all 3 are licorice.
# of ways to succeed: 4C3 = 4
Ans:: 4/286 = 0.0140
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Cheers,
Stan H.
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