A fair coin with 1 marked on one face and 6 on the other and a fair die are both tossed, find the probability that the sum of numbers that turn up is(i) 3 (ii) 12

Explanation

To solve the problem, we need to find the probability that the sum of the numbers that turn up when a fair coin and a fair die are tossed is either 3 or 12.

### Step 1: Define the Sample Space
When tossing a fair coin with one face marked as 1 and the other face marked as 6, and a fair die (which has faces numbered from 1 to 6), we can represent the outcomes as ordered pairs (C, D), where C is the result from the coin and D is the result from the die.

The possible outcomes are:
- For C = 1: (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)
- For C = 6: (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)
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