Question

The probability that Roberto throws a baseball in the strike zone on one pitch is 0.72. Roberto throws a baseball 3 times in a row.

Find the probability that Roberto throws at least one of the baseballs in the strike zone. Show your work or explain your answer.

Answer 1

The probability of Roberto not throwing in the strike zone on one pitch is 1-0.72=0.28.

Therefore, the probability of Roberto not throwing in the strike zone on all three pitches is 0.28*0.28*0.28=0.021952.

The probability of Roberto throwing at least one pitch in the strike zone is the complement of the probability of not throwing any pitches in the strike zone, which is 1-0.021952=0.978048.

Therefore, the probability that Roberto throws at least one of the baseballs in the strike zone is 0.978048 or approximately 0.978.