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24 January, 10:20

A fish tank contains eight algae-eaters, five catfish, and six tilapia fish. A storekeeper randomly selects two fish (one after another without replacement) from the tank for a customer. Find the probability that both fish selected are catfish.

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  1. 24 January, 10:45
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    P = 10/171

    P = 0.058

    The probability that both fish selected are Catfish is 0.0058

    Step-by-step explanation:

    Given:

    The tank contains;

    Algae eaters = 8

    Catfish = 5

    Tilapia fish = 6

    Total number of fish = 8+5+6 = 19

    To determine the probability that both fish selected are Catfish P;

    P = 5/19 * 4/18

    (The number of the total number of fishes, and Catfish reduce by one after each selection because it is selected without replacement)

    P = 10/171

    P = 0.058
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