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20 February, 09:40

You come home from Brian's Orchard with a big brown bag of apples: 23 Granny Smiths, 14 Honey Crisp and 31 Red Delicious. What is the probability you reach in and pull out: a. one of each? b. 4 Honey Crisps c. 2 G. Smiths & 1 R. Delicious

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  1. 20 February, 09:58
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    A.) 4991/157216

    B.) 2401/1336336

    C.) 16399/314432

    Step-by-step explanation:

    Given the following:

    Granny Smith = 23

    Honey crisp = 14

    Red delicious = 31

    Probability = (number of required outcome / number of possible outcomes)

    Number of possible outcomes = 23 + 14 + 31 = 68

    With replacement:

    A.) one of each:

    P (granny Smith) * P (Honey crisp) * P (Red delicious)

    P (granny Smith) = 23/68

    P (Honey crisp) = 14/68 = 7/34

    P (red delicious) = 31/68

    (23/68 * 7/34 * 31/68) = 4991/157216

    B) 4 honey crisp:

    P (4 Honey crisp) = P (honey crisp) * P (honey crisp) * P (honey crisp) * P (honey crisp)

    7/34 * 7/34 * 7/34 * 7/34 = 2401/1336336

    C.) 2 granny Smith and 1 red delicious

    P (granny Smith) * P (granny Smith) * P (red delicious)

    23/68 * 23/68 * 31/68 = 16399/314432
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