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Is it possible for events A and B to be both mutually exclusive and independent? Justify your answer.

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<div class="content"><div class="qa-summary-feedback"><div class="row-fluid"><div class="span8 well"><div class="row-fluid"><div class="span9"><div><p>Disjoint Events: &nbsp;Two events A and B are disjoint or mutually exclusive if and only if both do not occur at the same time. So, we can say that the probability of both events occuring together P(A &cap;&nbsp;B) = 0.</p><p>Independent Events: Two events A and B are independent events if and only if the occurrence of one event does not affect the occurrence of the other event. So, If any two events are independent the P(A &cap; B) = P(A)*P(B)</p></div></div></div></div></div></div></div>

<div><div><div><div><div><div><div><p>Given that two events If A and B are disjoint then they are independent. If A and B are disjoint then both events A and B do not occur at the same time. So we can say P(A∩B) =0. If event A occur then B do not occur and if event B occur then event  A do not occur.</p><p>If two events are independent then P(A∩B)=P(A)P(B). Let us assume events A and B are disjoint andind...</p></div></div></div></div></div></div></div>

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<p>Is it possible for events A and B to be both mutually exclusive and independent? Justify your answer.</p>

Is it possible for events A and B to be both mutually exclusive and independent? Justify your answer.

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