(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) =


To find the probability that a baseball pitch is thrown with fewer than two strikes, we'll consider the following:

### Key Points:
- There are typically 3 possible strike counts for a pitch: 0 strikes, 1 strike, or 2 strikes.
- The event "fewer than two strikes" includes both 0 strikes and 1 strike.

Let's assume that the probability of each strike count (0, 1, or 2 strikes) is equally likely, so each has a probability of \( \frac{1}{3} \).

### Step-by-Step Calculation:

1. **Event "Fewer than two strikes" includes:**
   - 0 strikes
   - 1 strike

2. **Probability of fewer than two strikes**:
   \[
   P(\text{Fewer than two strikes}) = P(0 \text{ strikes}) + P(1 \text{ strike})
   \]
   \[
   P(\text{Fewer than two strikes}) = \frac{1}{3} + \frac{1}{3} = \frac{2}{3}
   \]

3. **Rounding to four decimal places**:
   \[
   P(\text{Fewer than two strikes}) = 0.6667
   \]

### Final Answer:
\[
P(\text{A baseball pitch thrown with fewer than two strikes}) = 0.6667
\]

Would you like more details or have any questions?

Here are some related questions you might be interested in:

1. What is the probability of getting exactly one strike on a pitch?
2. How does the probability change if the strike counts are not equally likely?
3. What is the probability of a pitch being thrown with exactly two strikes?
4. How do we calculate the probability of getting no strikes at all?
5. What assumptions are made in this probability calculation?

**Tip:** Always verify if probabilities are equally distributed before calculating. If not, adjust the probabilities accordingly.

Explore the probability of a baseball pitch being thrown with fewer than two strikes. This problem involves basic probability concepts and calculations, suitable for Grades 10-12. Learn how to compute probabilities and round answers to four decimal places.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation