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11 October, 11:27

A basketball player makes 80% of her free throws. The random numbers below represent 20 trials for

a simulation. Let the numbers 0 to 7 represent a made free throw and let 8 to 9 represent a missed

free throw. Use this simulation to estimate the probability that the player makes both free throws.

(8,2) (9,3) (4,0) (5,8) (2,7) (2,0) (5,4) (8,0) (0,4) (9.1)

(9,6) (6,5) (4,4) (1,7) (0,4) (8,5) (8,8) (1,7) (3,5) (0,3)

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Answers (1)
  1. 11 October, 11:40
    0
    0.6

    Step-by-step explanation:

    The numbers 0 to 7 represent a made free throw The numbers 8 to 9 represent a missed free throw.

    Given the simulation data

    (8,2) (9,3) (4,0) (5,8) (2,7) (2,0) (5,4) (8,0) (0,4) (9.1)

    (9,6) (6,5) (4,4) (1,7) (0,4) (8,5) (8,8) (1,7) (3,5) (0,3)

    A pair that contains only numbers between 0 and 7 shows the player makes both throws.

    These pairs are:

    (4,0) (2,7) (2,0) (5,4) (0,4) (6,5) (4,4) (1,7) (0,4) (1,7) (3,5) (0,3)

    There are a total of 12 cases where the player makes both throws.

    Therefore:

    P (Player makes both throws) = 12/20=0.6
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