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19 June, 05:00

Probability theory predicts that there is a 16.2% chance of a particular basketball player making 5 free throws in a row. If the basketball player taking 5 free throws is simulated 5000 times, in about how many of the simulations would you expect at least 1 missed free throw?

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  1. 19 June, 07:28
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    With 5000 different trials with a 16.2% "success" rate, the "failed" simulations can be obtained by subtracting the number of simulations that succeeded by the original number of simulations. This is shown below:

    No. of simulations that succeeded = 5000 * 0.162 = 810

    No. of simulations that failed (had at least 1 missed free throw) = 5000 - 810 = 4190.
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