a small pond contains six catfish and six bluegill. if five fish are caught at random, what is the probability that exactly two catfish have been caught.
+130516 We want to catch any two of the six catfish = C(6,2) and any three of the six bluegill = C(6,3)
And total possible ways to catch any five of the twelve fish = C(12,5)
So.....the probability of exactly two catfish is given by :
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C(6,2) * C(6,3) / C(12,5) = 25/66 = about 0.378 = about 37.8%
