SOLUTION: There are 35 fish in a pond. We know that 16 of these fish are males, 4 of these males are salmon and there are 8 salmon in the pond. What is the probability that a randomly chose

Algebra ->  Probability-and-statistics -> SOLUTION: There are 35 fish in a pond. We know that 16 of these fish are males, 4 of these males are salmon and there are 8 salmon in the pond. What is the probability that a randomly chose      Log On


   



Question 176814: There are 35 fish in a pond. We know that 16 of these fish are males, 4 of these males are salmon and there are 8 salmon in the pond. What is the probability that a randomly chosen fish is a salmon, given that it is a male?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
There are 35 fish in a pond.
We know that 16 of these fish are males---so there are 19 femailes
4 of these males are salmon and there are 8 salmon in the pond--4 are femailes
What is the probability that a randomly chosen fish is a salmon, given that it is a male?
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P(S|M) = P(S and M)/P(M) = (4/35)/(16/35) = 4/16 = 1/4
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Cheers,
Stan H.