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? 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?