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Given two events A and B, is it possible for these events to be: 1. Both...

Given two events A and B, is it possible for these events to be:

1. Both mutually exclusive and collectively exhaustive?

2. Both mutually exclusive and independent?

3. Both mutually exclusive and A ⊆ B ?

4. Both collectively exhaustive and A ⊆ B ?

Math   Statistics-And-Probability   
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Answer #1

Two events A and B are mutually exclusive when , collectively exhaustive when and independent

Given two events A and B, the possible events are :

ans->

1. Both mutually exclusive and collectively exhaustive

2. Both mutually exclusive and independent ( only possible when P(A) = P(B) = 0,

4. Both collectively exhaustive and A ⊆ B ( possible when B is the universal set)

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