Find the probability distribution of (i) number of heads in two tosses of a coin. (ii) number of tails in the simultaneous tosses of three coins. (iii) number of heads in four tosses of a coin.

Explanation

To solve the problem of finding the probability distribution for the number of heads in two tosses of a coin, the number of tails in three simultaneous tosses of coins, and the number of heads in four tosses of a coin, we will break it down step by step.

### Part (i): Number of Heads in Two Tosses of a Coin

1. **Define the Random Variable**: Let \( X \) be the random variable representing the number of heads in two tosses of a coin. The possible values of \( X \) are 0, 1, and 2.

2. **List Possible Outcomes**: The outcomes of tossing a coin twice are:
- HH (2 heads)
...