A baseball pitcher threw 3872 pitches during part of a recent season. Of these, 1763 were thrown with no strikes on the batter, 814 were thrown with one strike, and 1295 were thrown with two strikes.Part 1 of 2(a) What is the probability that a baseball pitch is thrown with no strikes? Round your answer to four decimal places.PA baseball pitch thrown with no strikes=0.4553Part: 1 / 21 of 2 Parts CompletePart 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.
Question
A baseball pitcher threw 3872 pitches during part of a recent season. Of these, 1763 were thrown with no strikes on the batter, 814 were thrown with one strike, and 1295 were thrown with two strikes.Part 1 of 2(a) What is the probability that a baseball pitch is thrown with no strikes? Round your answer to four decimal places.PA baseball pitch thrown with no strikes=0.4553Part: 1 / 21 of 2 Parts CompletePart 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.
Solution
To solve this problem, we first need to understand that the probability of an event is calculated by dividing the number of successful outcomes by the total number of outcomes.
Part 1: The total number of pitches is 3872 and the number of pitches thrown with no strikes is 1763. So, the probability (P) of a pitch being thrown with no strikes is calculated as follows:
P(No strikes) = Number of pitches with no strikes / Total number of pitches P(No strikes) = 1763 / 3872 P(No strikes) = 0.4553 (rounded to four decimal places)
Part 2: The number of pitches thrown with fewer than two strikes is the sum of pitches thrown with no strikes and pitches thrown with one strike. So, the probability (P) of a pitch being thrown with fewer than two strikes is calculated as follows:
P(Fewer than two strikes) = Number of pitches with fewer than two strikes / Total number of pitches P(Fewer than two strikes) = (1763 + 814) / 3872 P(Fewer than two strikes) = 0.6667 (rounded to four decimal places)
So, the probability that a baseball pitch is thrown with no strikes is 0.4553 and the probability that a baseball pitch is thrown with fewer than two strikes is 0.6667.
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