**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) =

To calculate the probability that a baseball pitch is thrown with fewer than two strikes, we'll use the data provided:

- **Total pitches thrown:** \( 3495 \)
- **Pitches with no strikes:** \( 1231 \)
- **Pitches with one strike:** \( 908 \)
- **Pitches with two strikes:** \( 1356 \)

### Step-by-Step Calculation:

1. **Calculate the total number of pitches with fewer than two strikes:**
   - This includes both pitches with no strikes and pitches with one strike.
   \[
   \text{Pitches with fewer than two strikes} = 1231 + 908 = 2139
   \]

2. **Calculate the probability:**
   \[
   P(\text{Fewer than two strikes}) = \frac{\text{Pitches with fewer than two strikes}}{\text{Total pitches thrown}}
   \]
   \[
   P(\text{Fewer than two strikes}) = \frac{2139}{3495}
   \]

3. **Simplify and round the probability to four decimal places:**
   \[
   P(\text{Fewer than two strikes}) = \frac{2139}{3495} \approx 0.6120
   \]

### Final Answer:
\[
P(\text{A baseball pitch thrown with fewer than two strikes}) = 0.6120
\]

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 a pitch being thrown with exactly two strikes?
2. How would the probability change if the total number of pitches were different?
3. What is the probability of a pitch being thrown with no strikes at all?
4. How would you calculate the probability of getting one strike?
5. 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.

Learn how to calculate the probability that a baseball pitch is thrown with fewer than two strikes using detailed data analysis. This problem involves calculating probabilities based on the number of pitches thrown with no strikes, one strike, and two strikes. Suitable for high school students studying probability.

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