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?

Question

Jaylin Whitaker

Mathematics

9 December, 06:10

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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Kash Spence · Answer 1

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.