The question asks for the probability of randomly selecting a number less than 12 from a set of numbers numbered 1 to 100.

Solution:

1. Total Outcomes: The numbers range from 1 to 100, so there are 100 possible outcomes.
2. Favorable Outcomes: Numbers less than 12 are $1, 2, 3, \ldots, 11$, which are 11 numbers in total.

The probability is calculated as: $P = \frac{\text{Favorable Outcomes}}{\text{Total Outcomes}} = \frac{11}{100}$

Correct Answer:

The correct option is: $\frac{11}{100}$.

Would you like further clarification or a breakdown of probability concepts?

Here are 5 follow-up questions to expand your understanding:

1. How would the probability change if the range of numbers increased to 1-200?
2. What is the probability of selecting a number greater than or equal to 12?
3. How does this probability compare with the complement of $P$?
4. How would you calculate the probability of selecting an even number less than 12?
5. Can you generalize this probability formula for any range and cutoff value?

Tip: Always confirm the total and favorable outcomes before solving probability questions!