Three coins are tossed once. Let A denote the event ‘three heads snow”, B denote the event “two heads and one tail show”, C denote the event” three tails show and D denote the event 'a head shows on the first coin”. Which events are(i) mutually exclusive?     (ii) simple?     (iii) Compound?

Explanation

To solve the problem step by step, we will analyze the events defined in the question and determine which events are mutually exclusive, simple, and compound.

### Step 1: Identify the Sample Space
When three coins are tossed, the possible outcomes (sample space) can be listed as follows:
- HHH (3 heads)
- HHT (2 heads, 1 tail)
- HTH (2 heads, 1 tail)
- THH (2 heads, 1 tail)
...