A fair coin is tossed until a head or five tails occur. If X denotes the number of tosses of the coin, find mean of X.

Explanation

To find the mean of the random variable \( X \), which denotes the number of tosses of a fair coin until a head or five tails occur, we can follow these steps:

### Step 1: Identify the possible outcomes and their probabilities
We need to determine the possible values of \( X \) and their corresponding probabilities.

1. **If \( X = 1 \)**: The first toss is a head (H).
- Probability: \( P(X = 1) = \frac{1}{2} \)

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