Probability theory predicts that there is a 22.4% chance of a particular soccer player making four penalty shots in a row. If the soccer player taking four penalty shots is simulated 2500 times, in about how many of the simulations would you expect at least one missed shot?

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Mathematics

Houston Knox

22 October, 06:43

Probability theory predicts that there is a 22.4% chance of a particular soccer player making four penalty shots in a row. If the soccer player taking four penalty shots is simulated 2500 times, in about how many of the simulations would you expect at least one missed shot?

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Kassidy Mcclain · Answer 1

If there is a 22.4% chance that a soccer player will make 4 shots in a row, then the probability that he/she WON'T make 4 shots in a row is ...

100 - 22.4 = 77.6%

So the number of simulations that he/she will miss at least one shot in 2500 simulations would be ...

2500 x 77.6% =

2500 x. 776 = 1940