A pair of dice is thrown. Find the probability of getting 7 as the sum of it is known that hte second die always exhibits a prime number.

Explanation

To solve the problem step by step, we will determine the probability of getting a sum of 7 when a pair of dice is thrown, given that the second die shows a prime number.

### Step 1: Identify the sample space
When rolling two dice, the first die can show any number from 1 to 6 (let's denote it as \( x \)), and the second die can show a prime number. The prime numbers between 1 and 6 are 2, 3, and 5. Therefore, the possible outcomes for the second die (let's denote it as \( y \)) are:
- \( y = 2 \)
- \( y = 3 \)
- \( y = 5 \)

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