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Math Help - Probability Question

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    Probability Question

    While on his boat, a man sees a fish in the water and wants to catch it. He has two nets that he uses simultaneously.

    One is 98% effective.
    The other is 99.3% effective.

    What is the probability that the fish will escape?

    What is the probability that the fish will escape 3 out of 6 attempts?
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    Quote Originally Posted by RogerMoore View Post
    While on his boat, a man sees a fish in the water and wants to catch it. He has two nets that he uses simultaneously.

    One is 98% effective.
    The other is 99.3% effective.

    What is the probability that the fish will escape?

    What is the probability that the fish will escape 3 out of 6 attempts?
    (a) The fish escapes if neither net catches it: p = (0.02)(0.007) = ...... (and there's a pun in here somewhere ......).

    (b) "escape 3 out of 6 attempts" doesn't make much sense unless the fish is thrown back into the water after a capture ....... So that's what I'll assume.

    Let X be the random variable number of escapes.

    X ~ Binomial(n = 6, p = ......).

    Calculate Pr(X = 3).
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