Question
When a softball player gets a hit, it can be a single, double, triple, or home run. When Josephine is at bat, the probability that she hits a single is 15 percent and the probability that she hits a double is 5 percent. What is the probability that Josephine hits a single or a double when she is at bat? 3 percent 10 percent 20 percent 75 percent
Ask by Patel Dunn. in the United States
Jan 22,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The probability that Josephine hits a single or a double is 20 percent.
Solution
To determine the probability that Josephine hits either a single or a double when she's at bat, we can simply add the probabilities of each event since they are mutually exclusive (she can't hit both a single and a double on the same at-bat).
- **Probability of hitting a single:** 15%
- **Probability of hitting a double:** 5%
**Total probability of hitting a single or a double:**
\[ 15\% + 5\% = 20\% \]
**Answer:** 20 percent
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution The Deep Dive
To find the probability that Josephine hits either a single or a double, you simply add the probabilities of both events. The probability of hitting a single is 15% (0.15) and hitting a double is 5% (0.05). So, the calculation is: 0.15 + 0.05 = 0.20 or 20%. Therefore, the probability that Josephine hits a single or a double is 20 percent. To put it in a fun context, think of Josephine at bat as a magician with two tricks up her sleeve: one leads to a single (a smooth, reliable hit), and the other to a double (a little flair that gets the crowd cheering). She has a 20% chance to impress with either trick! Now that's some magical math! ✨
