Consider the experiment of tossing a coin. If the coin shows head, toss it again but if it shows tail then throw a die. Find the conditional probability of the event that the die shows a number greater than 4 given that there is at least one tail.

Explanation

To solve the problem, we will follow these steps:

### Step 1: Define the Sample Space
When we toss a coin, we can get either a Head (H) or a Tail (T). If we get a Head, we toss the coin again, leading to the following outcomes:
1. HH (Head, Head)
2. HT (Head, Tail)

If we get a Tail on the first toss, we then roll a die, which can show any of the numbers from 1 to 6. Thus, the outcomes when we get a Tail are:
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