SOLUTION: Of the 15 teams in the NHL Eastern Conference, 3 of them are canadian based cities. Each year 8 of these teams qualify for the playoffs. Assuming all 15 teams have an equal chance,

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Question 1180287: Of the 15 teams in the NHL Eastern Conference, 3 of them are canadian based cities. Each year 8 of these teams qualify for the playoffs. Assuming all 15 teams have an equal chance, what is the probability that at least one of the canadian teams make the playoffs
Answer by ikleyn(52817) About Me  (Show Source):
You can put this solution on YOUR website!
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The full space of events is the set of all combinations of 15 teams taken 8 at a time

    N%5Btotal%5D = C%5B15%5D%5E8 = 6435 elements.


The favorable events are those combinations of this set which contain 3 canadian teams.

The number of such combinations is

    N%5Bfavorable%5D = C%5B15-3%5D%5E%288-3%29 = C%5B12%5D%5E5 = 792.


The probability the problem asks for is the ratio

    P = favorable%2Ftotal = 792%2F6435 = 8%2F65.    ANSWER

Solved, answered and explained.