The spinner is divided into 12 equal sections numbered from 1 to 12. We are asked to find the probability $P(<6)$, which represents the probability of landing on a number less than 6.

Steps to calculate the probability:

1. Identify the favorable outcomes: These are the numbers on the spinner that are less than 6. The numbers less than 6 are: 1, 2, 3, 4, and 5. So, there are 5 favorable outcomes.

2. Determine the total possible outcomes: Since the spinner has 12 equal sections, the total number of possible outcomes is 12.

3. Calculate the probability: $P(<6) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} = \frac{5}{12}$

So, the probability $P(<6) = \frac{5}{12}$.

Would you like any further details or explanations on this?

Related Questions:

1. What is the probability of landing on a number greater than 6?
2. What is the probability of landing on an even number?
3. How would you calculate the probability of landing on a prime number?
4. What is the probability of landing on the number 6 or higher?
5. How does the probability change if the spinner has 10 sections instead of 12?

Tip:

When dealing with probability, always make sure that the favorable outcomes are counted correctly and that the total number of outcomes represents all possible events.