Probability theory predicts that there is a 2.8% chance of a particular soccer player making six penalty shots in a row. If the soccer player taking six penalty shots is simulated 2500 times, in about how many of the simulations would you expect at least one missed shot?
A. 2430
B. 243
C. 7
D. 70

Finding the probabilities connected with random events is the focus of the mathematics and statistics discipline of probability theory. There are two primary methods for studying probability theory. These are experimental and theoretical probability. Without performing tests, theoretical probability is established on the basis of logical argument. Contrarily, experimental probability is calculated by repeated trials using historical data.

How to solve the problem?

If a soccer player has a 2.8% chance of making six consecutive successful penalty shots, the likelihood that he or she will miss those six attempts is...

(100 -2.8)% = 97.2%

Therefore, in 2500 simulations, the probability that he or she would miss at least one shot is...

2500 x 97.2%

= 2500 x .972

= 2430

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Probability theory predicts that there is a 2.8% chance of a particular soccer player making six penalty shots in a row. If the soccer player taking six penalty shots is simulated 2500 times, in about how many of the simulations would you expect at least one missed shot? A. 2430 B. 243 C. 7 D. 70

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Probability theory predicts that there is a 2.8% chance of a particular soccer player making six penalty shots in a row. If the soccer player taking six penalty shots is simulated 2500 times, in about how many of the simulations would you expect at least one missed shot?
A. 2430
B. 243
C. 7
D. 70