Question

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

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.