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26.9 Prove that if eventsAand B are disjoint and both have nonzero probability, then they are...

26.9 Prove that if eventsAand B are disjoint and both have nonzero probability, then they are dependent

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Answer #1

Solution :

Let two events A and B are disjoint. This means;

Also we have been given that;

Note that any two events are either independent or dependent. If two events C and D are independent then these two events follows;

For events A and B we have;

Since both the events has non zero probabilities.

And hence we get;

So A and B are not independent implies that both are dependent.

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