A fair die is tossed twice. If the number appearing on the top is less than 3, it is a success. Find the probability distribution of number of successes.

Explanation

To find the probability distribution of the number of successes when a fair die is tossed twice, we will follow these steps:

### Step 1: Define Success and Failure
In this scenario, a success is defined as rolling a number less than 3 (i.e., rolling a 1 or 2). Therefore:
- Success (S): Rolling a 1 or 2
- Failure (F): Rolling a 3, 4, 5, or 6

### Step 2: Calculate the Probability of Success and Failure
...