Question

A baseball pitcher threw 3491 pitches during part of a recent season. Of these, 1060 were thrown with no strikes on the batter, 826 were thrown with one strike, and 1605 were thrown with two strikes.(a) What is the probability that a baseball pitch is thrown with no strikes? Round your answer to four decimal places. P(A baseball pitch thrown with no strikes) - 0.3679 Part: 1 / 2 Part 2 of 2 (b) What is the probability that a baseball pitch is thrown with fewer than two strikes? Round your answer to four decimal places. P(A baseball pitch thrown with fewer than two strikes) -

Answer 1

a) P(A baseball pitch thrown with no strikes) = 0.3036

b) P(A baseball pitch thrown with fewer than two strikes) = 0.5402

Explanation:

(a) What is the probability that a baseball pitch is thrown with no strikes?

We can calculate the probabilty as a relative frequency based on the data of the season.

The amount of pitches with no strike are 1060, out of a total of 3491 pitches.

Then, the probability is

`P=1060/3491=0.3036`

(b) What is the probability that a baseball pitch is thrown with fewer than two strikes?

Here we have to add the events of no strikes (1060) and one strike (826).

`P=(1060+826)/(3491)=(1886)/(3491)= 0.5402`