Probability theory predicts that there is a 22.4% chance of a particular soccer player making four penalty shots in a row. If th

Question

3 years ago

9

Probability theory predicts that there is a 22.4% chance of a particular soccer player making four penalty shots in a row. If th

e 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?

Mathematics

2 answers:

Arturiano [62] · Answer 1 · 2022-09-09T15:41:27+03:00

Arturiano [62]3 years ago

6 0

Answer:

1940 (apex)

Step-by-step explanation:

schepotkina [342] · Answer 2 · 2022-09-09T13:14:00+03:00

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