Arrange the given events in ascending order of their probabilities:

- **A:** Target is hit 2 times in 20 shots.
- **B:** Target is hit 175 times in 200 shots.
- **C:** Target is hit 92 times in 100 shots.
- **D:** Target is hit 2 times in 5 shots.
- **E:** Target is hit 5 times in 13 shots.

Question

Arrange the given events in ascending order of their probabilities:

- **A:** Target is hit 2 times in 20 shots.  
- **B:** Target is hit 175 times in 200 shots.  
- **C:** Target is hit 92 times in 100 shots.  
- **D:** Target is hit 2 times in 5 shots.  
- **E:** Target is hit 5 times in 13 shots.

Accepted Answer

To arrange the events in ascending order of their probabilities:

1. **Calculate probabilities for each event:**
   - **A's probability:** $$ \frac{2}{20} = 0.10 $$.  
   - **B's probability:** $$ \frac{175}{200} = 0.875 $$.  
   - **C's probability:** $$ \frac{92}{100} = 0.92 $$.  
   - **D's probability:** $$ \frac{2}{5} = 0.40 $$.  
   - **E's probability:** $$ \frac{5}{13} \approx 0.38 $$.

2. **Arrange probabilities in ascending order:**
   - $$ A (0.10) < E (0.38) < D (0.40) < B (0.875) < C (0.92) $$.

Thus, the correct order is **A < E < D < B < C**, corresponding to option (c).

Answer

Answer

Answer