A die is rolled. If the outcome is an odd number, what is the probability that it is prime?

Explanation

To solve the problem, we need to find the probability that the outcome of rolling a die is a prime number given that it is an odd number. Here’s a step-by-step breakdown of the solution:

### Step 1: Identify the Sample Space
When rolling a standard six-sided die, the possible outcomes are:
\[ S = \{1, 2, 3, 4, 5, 6\} \]

### Step 2: Define Event A (Odd Numbers)
Event A is defined as the outcome being an odd number. The odd numbers in the sample space are:
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