A coin is tossed three times, consider the following events.
A : No head appears,
B: Exactly one head appears’ and
C: Atleast two appear
Do they form a set of mutually exclusive and exhaustive events?

Explanation

To determine whether the events A, B, and C form a set of mutually exclusive and exhaustive events when a coin is tossed three times, we will follow these steps:

### Step 1: Define the Sample Space
When a coin is tossed three times, the sample space (S) consists of all possible outcomes. The outcomes can be represented as:
- HHH (3 heads)
- HHT (2 heads, 1 tail)
- HTH (2 heads, 1 tail)
- THH (2 heads, 1 tail)
...