A fair die is tossed. List the sample space. State the probability of the event :
(i) a number less than 3 appears
(ii) a number greater than 3 appears
(iii) a number greater than or equal to 3 appears

Explanation

To solve the problem step by step, we will first identify the sample space of a fair die, and then calculate the probabilities for the specified events.

### Step 1: Identify the Sample Space
A fair die has 6 faces, numbered from 1 to 6. Therefore, the sample space (S) can be listed as:
\[ S = \{1, 2, 3, 4, 5, 6\} \]

### Step 2: Calculate the Probability of a Number Less Than 3
To find the probability of rolling a number less than 3, we identify the favorable outcomes:
...