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13. Probability
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Q96 of 108 Page 271

State True or False for the statements in the Exercise.

If A and B are mutually exclusive events, then they will be independent also.

False

If A and B are mutually exclusive. It implies-


P(A∪B) = P(A) + P(B)


Through this equation we can’t prove in any way that


P(A ∩ B)= P(A)P(B).


So, it is a false statement.


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94

State True or False for the statements in the Exercise.

Let P(A) > 0 and P(B) > 0. Then A and B can be both mutually exclusive and independent.

95

State True or False for the statements in the Exercise.

If A and B are independent events, then A′ and B′ are also independent.

97

State True or False for the statements in the Exercise.

Two independent events are always mutually exclusive.

98

State True or False for the statements in the Exercise.

If A and B are two independent events then P(A and B) = P(A).P(B)

Questions · 108
13. Probability
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