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Question
Three coins are tossed. Describe two events which are mutually exclusive but not exhaustive.
Solution
Two events which are mutually exclusive but not exhaustive can be
A: getting exactly one head
B: getting exactly one tail
That is
A = {HTT, THT, TTH}
B = {HHT, HTH, THH}
It is because, A ∩ B = Φ, but A ∪ B ≠ S
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| (d) If E1 and E2 are two events such that E1 ⊂ E2 | (iv) E1 ∩ E2 = Φ |
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