A committee of 50 politicians is to be chosen from among our 100 senators. If the selection is done at random, what is the probability that each state will be represented?(adsbygoogle = window.adsbygoogle || []).push({});

My friend tried to help me out, and this is what he came up with.

Since there are 2 senators from each state, you got to figure out the proablity of that into the calcuations. Figure out the proability of picking a senator from each state, add them together, then multiply it by 100C50.

100C50 * sum [2/(100-i)]

where i goes from 0 to 49

the summation part is the probablity of the senators being picked from each state

When I do the math, I get a huge answer, and I cant have the probabilty bigger than one. So I did 100C50 divided by the huge answer, and I get .7265 which could be correct.

Frankly, I don't understand the logic to solving this problem. Can someone help me out?

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# Homework Help: Politician probablity help

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