Three coins are tossed. Describe(i)      Two events which are mutually exclusive.(ii)     Three events which are mutually exclusive and exhaustive.(iii)    Two events, which are not mutually exclusive.(iv)    Two events which are mutually exclusive but not exhaustive.(v)    Three events which are mutually exclusive but not exhaustive.

Explanation

To solve the problem of describing various events when three coins are tossed, we first need to establish the sample space. The sample space consists of all possible outcomes when three coins are tossed. The outcomes are:

1. HHH (all heads)
2. HHT (two heads, one tail)
3. HTH (two heads, one tail)
4. THH (two heads, one tail)
5. HTT (one head, two tails)
6. THT (one head, two tails)
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