Two dice are thrown and it is known that the first die shows a 6. Find the probability that the sum of the numbers showing on two dice is 7.

Explanation

To solve the problem, we need to find the probability that the sum of the numbers showing on two dice is 7, given that the first die shows a 6.

### Step-by-Step Solution:

1. **Identify the Sample Space**:
When two dice are thrown, the total number of outcomes is \(6 \times 6 = 36\). However, since we know that the first die shows a 6, we only consider the outcomes where the first die is fixed at 6.

2. **List the Possible Outcomes**:
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