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September 12th, 2008, 08:05 AM   #1
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Simple Probability Question

I need help on this, I know it's simple but I can't find a decent example to help me solve it.

There are 2 Senators for each of the 50 states.
If 10 Senators are selected at random, what is the probability they are all from different states.

Thanks.
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September 12th, 2008, 01:06 PM   #2
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Re: Simple Probability Question

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Originally Posted by slade8200
I need help on this, I know it's simple but I can't find a decent example to help me solve it.

There are 2 Senators for each of the 50 states.
If 10 Senators are selected at random, what is the probability they are all from different states.

Thanks.
Start with 1 senator. Prob no. 2 is from diff state is 98/99, prob no. 3 diff from first two is 96/98, prob no. 4 is diff from first three is 94/97, etc. Multiply all these together to get what you want.
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