SOLUTION: A foreign student club lists as its members 2 Canadians, 3 Japanese, 5 Italians, and 2 Germans. If a committee of 4 is selected at random, find the probability that a) all nationa

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Question 637652: A foreign student club lists as its members 2 Canadians, 3 Japanese, 5 Italians, and 2 Germans. If a committee of 4 is selected at random, find the probability that
a) all nationalities are represented;
b) all nationalities except the Italians are represented.
Please use hypergeometric distribution

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
A foreign student club lists as its 12 members: 2 Canadians, 3 Japanese, 5 Italians, and 2 Germans.
If a committee of 4 is selected at random
a) P(all nationalities are represented) = %282C1%2A3C1%2A5C1%2A2C1%29%2F%2812C4%29
b) P(all nationalities except the Italians are represented) = 7C4%2F%2812C4%29