To determine which probabilities represent events that are unlikely to occur, we generally consider probabilities less than 0.5 (or 50%). Here are the fractions you provided, converted to decimal form for easy comparison:
- \( \frac{10}{11} \) = 0.909 (unlikely to occur is not applicable)
- \( \frac{5}{10} \) = 0.5 (not unlikely)
- \( \frac{8}{15} \) ≈ 0.533 (not unlikely)
- \( \frac{1}{2} \) = 0.5 (not unlikely)
- \( \frac{2}{3} \) ≈ 0.667 (not unlikely)
- \( \frac{1}{8} \) = 0.125 (unlikely)
- \( \frac{100}{200} \) = 0.5 (not unlikely)
- \( \frac{6}{7} \) ≈ 0.857 (unlikely to occur is not applicable)
- \( \frac{2}{9} \) ≈ 0.222 (unlikely)
Based on this analysis, the probabilities that represent events that are unlikely to occur (less than 0.5) are:
- \( \frac{1}{8} \) (0.125)
- \( \frac{2}{9} \) (0.222)
So, the answer is \( \frac{1}{8} \) and \( \frac{2}{9} \).