Question

what probabilities represent events that are unlikely to occur
select all that apply
10/1 5.10 8/15 1/2 2/3 1/8 100/200 6/7 2/9

Answer 1

In probability, events that are considered unlikely to occur typically have probabilities less than 0.5 (or 50%). Let's convert the probabilities provided into decimal form to assess their likelihood:

1. **10/1** = 10.0 (unlikely)
2. **5.10** = 5.1 (unlikely)
3. **8/15** = 0.533 (not unlikely, more likely than not)
4. **1/2** = 0.5 (equally likely)
5. **2/3** = 0.667 (likely)
6. **1/8** = 0.125 (unlikely)
7. **100/200** = 0.5 (equally likely)
8. **6/7** = 0.857 (likely)
9. **2/9** = 0.222 (unlikely)

Based on this evaluation, the events that represent probabilities that are unlikely to occur (less than 0.5) are:

- 10/1
- 5.10
- 1/8
- 2/9

So, select **10/1, 5.10, 1/8, and 2/9** as the events that are unlikely to occur.