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?

Question

Emery Hancock

Mathematics

30 May, 23:15

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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Rocky · 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