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Anyone Can Help Me Understand This Problem?

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Anyone Can Help Me Understand This Problem? [#permalink] New post 05 Dec 2010, 18:08
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Hello Everybody,

I am new to this forum and I hope I am posting this problem in the right place. I would really appreciate it if anyone could help me to solve this problem and understand similar questions.

-If a club has 10 member and 3 are to be chosen to be delegates to a conference, what is the probability that Sara, a member of the club be one of the delegates?
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Re: Anyone Can Help Me Understand This Problem? [#permalink] New post 05 Dec 2010, 19:28
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kevinfa wrote:
Hello Everybody,

I am new to this forum and I hope I am posting this problem in the right place. I would really appreciate it if anyone could help me to solve this problem and understand similar questions.

-If a club has 10 member and 3 are to be chosen to be delegates to a conference, what is the probability that Sara, a member of the club be one of the delegates?



The probability = (No of committees that include Sara) / (Total no of possible committess)

No of committess that include Sara = Ways to select 2 delegates from the other 9 members = C(9,2) = 36
Total no of possible committees = Ways to select 3 delegates from 10 members = C(10,3) = 120

Probability = 36/120 = 0.3
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Re: Anyone Can Help Me Understand This Problem? [#permalink] New post 05 Dec 2010, 19:31
Thanks a lot. I understand now!
Re: Anyone Can Help Me Understand This Problem?   [#permalink] 05 Dec 2010, 19:31
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