In the Western Conference of the NHL there are 15 teams. Of those teams, three of them have 2 words in their name (St Louis, San Jose & Los Angeles). Each year eight of these teams qualify for the playoffs. Assume that all 15 teams have an equal chance of getting into the playoffs, what is the probabilty that
a) none will make the playoffs
b) at least one fo the teams will make the playoffs
c) all the teams make the playoffs.
To answer A would the correct way be to:
Find how many possible ways the 8 teams could make the playoffs? Then subtract 3 out of there?
C(15,8) = 259459200/40320 = 6435
So There would be 6435 ways that only that only 8 of the 15 teams would make the playoffs
Now how would I go about answer the probability that out of those 8 who make it, none of them are the three teams who have 2 words in their name??