Math Problem Statement
More pitching: A baseball pitcher threw
3495
pitches during part of a recent season. Of these,
1231
were thrown with no strikes on the batter,
908
were thrown with one strike, and
1356
were thrown with two strikes.
(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) =
Solution
To calculate the probability that a baseball pitch is thrown with fewer than two strikes, we'll use the data provided:
- Total pitches thrown:
- Pitches with no strikes:
- Pitches with one strike:
- Pitches with two strikes:
Step-by-Step Calculation:
-
Calculate the total number of pitches with fewer than two strikes:
- This includes both pitches with no strikes and pitches with one strike.
-
Calculate the probability:
-
Simplify and round the probability to four decimal places:
Final Answer:
Would you like more details or have any questions?
Here are some related questions you might be interested in:
- What is the probability of a pitch being thrown with exactly two strikes?
- How would the probability change if the total number of pitches were different?
- What is the probability of a pitch being thrown with no strikes at all?
- How would you calculate the probability of getting one strike?
- Can we use the same method to calculate the probability of other outcomes, such as balls or hits?
Tip: When calculating probabilities, always ensure that the sum of all possible outcomes adds up to 1 to confirm your calculations are correct.
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Math Problem Analysis
Mathematical Concepts
Probability
Formulas
Probability calculation formula
Theorems
-
Suitable Grade Level
High School
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