To find the probability of the event A: Rolling a number divisible by 5 on a 12-sided die numbered from 1 to 12, we need to follow these steps:

Step 1: Identify the favorable outcomes

The numbers divisible by 5 between 1 and 12 are:

• 5, 10

So, the favorable outcomes are 5 and 10, making 2 favorable outcomes.

Step 2: Find the total number of possible outcomes

Since the die has 12 sides, the total number of possible outcomes is 12.

Step 3: Calculate the probability

The probability of an event is given by the formula: $P(A) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$ For this case: $P(A) = \frac{2}{12} = \frac{1}{6}$

Final Answer:

The probability of rolling a number divisible by 5 is $\frac{1}{6}$.

Would you like more details on how to approach probability problems like this? Or do you have any other questions?

Here are 5 related questions you could explore:

1. What is the probability of rolling an even number on a 12-sided die?
2. How would the probability change if the die had 20 sides instead of 12?
3. What is the probability of rolling a number greater than 7 on the 12-sided die?
4. How can the probability of rolling a number divisible by 3 be calculated?
5. What is the probability of rolling a number less than or equal to 4?

Tip: Remember, when calculating probabilities, always count both the favorable outcomes and the total number of possible outcomes before applying the formula.