The question asks to identify which of the given numbers can represent probabilities. Probabilities must lie between 0 and 1, inclusive. This means any valid probability must be a number between 0 (impossible event) and 1 (certain event).

Let's go through the options:

1. A. 101/200:
   $\frac{101}{200} = 0.505$, which is between 0 and 1, so this can be a probability.

2. B. 0.1:
   This is between 0 and 1, so it's valid.

3. C. 1:
   This represents a certain event and is valid.

4. D. 1/2:
   $\frac{1}{2} = 0.5$, which is between 0 and 1, so it's valid.

5. E. 25%:
   $25\% = 0.25$, which is between 0 and 1, so it's valid.

6. F. 0.02%:
   $0.02\% = 0.0002$, which is between 0 and 1, so it's valid.

7. G. 0.02:
   This is between 0 and 1, so it's valid.

8. H. 3.5:
   This is greater than 1, so it cannot be a probability.

9. I. 101/50:
   $\frac{101}{50} = 2.02$, which is greater than 1, so it is invalid.

10. J. 72:
    This is greater than 1, so it's invalid.

11. K. 12:
    This is greater than 1, so it's invalid.

12. L. 100%:
    $100\% = 1$, which is valid.

13. M. 4/10:
    $\frac{4}{10} = 0.4$, which is between 0 and 1, so it's valid.

14. N. 99%:
    $99\% = 0.99$, which is between 0 and 1, so it's valid.

15. O. 150%:
    $150\% = 1.5$, which is greater than 1, so it's invalid.

16. P. 17/53:
    $\frac{17}{53} \approx 0.32$, which is between 0 and 1, so it's valid.

17. Q. 48:
    This is greater than 1, so it's invalid.

18. R. 6/6:
    $\frac{6}{6} = 1$, which is valid.

19. S. 31/88:
    $\frac{31}{88} \approx 0.352$, which is between 0 and 1, so it's valid.

20. T. 0.68/2:
    $\frac{0.68}{2} = 0.34$, which is between 0 and 1, so it's valid.

Valid Options:

• A (101/200)
• B (0.1)
• C (1)
• D (1/2)
• E (25%)
• F (0.02%)
• G (0.02)
• L (100%)
• M (4/10)
• N (99%)
• P (17/53)
• R (6/6)
• S (31/88)
• T (0.68/2)

It looks like you may have selected some incorrect choices. Based on this, revise your answer selection to A, B, C, D, E, F, G, L, M, N, P, R, S, and T.

Do you have any questions or want further explanation?

Related Questions:

1. What are some examples of real-world applications of probabilities?
2. How do percentages relate to probabilities in a practical sense?
3. Can a negative number ever be a valid probability? Why or why not?
4. Why must probabilities lie between 0 and 1?
5. How do you calculate the probability of multiple independent events occurring?

Tip: Always remember, probabilities cannot exceed 1 or be less than 0, since they represent a likelihood bounded between impossibility and certainty.