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Probability probability... Probability that I got this right

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Probability probability... Probability that I got this right

by hwiya320 » Wed Dec 10, 2008 3:29 pm
John and Peter are among the nine players a basketball coach can choose from to field a five-player team. If all five players are chosen at random, what is the probability of choosing a team that includes John and Peter?
1/9
1/6
2/9
5/18
1/3

I got to 9!/5!4! = 126..... but now I'm stuck!
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by dmateer25 » Wed Dec 10, 2008 3:53 pm
If John and Peter are on the same team.

Then there are 7C3 ways for the other 3 team members to be selected.

7C3 = 35

So there are 35 ways they can be on the team together.

Now we have:

35/126 = 5/18
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