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Question

Quantitative Aptitude Question on Probability

If A and B are two mutually exclusive events, then

A

P(A)<P(B)P(A)<P(\overline B)

B

P(A)>P(B)P(A)>P(\overline B)

C

P(A)<P(B)P(A)<P(B)

D

None of these

Answer

None of these

Explanation

Solution

The correct statement for two mutually exclusive events A and B is: (1) P(A) + P(B) = 1
This means that the sum of the probabilities of A and B is equal to 1
because if they are mutually exclusive, either A or B can occur, but not both.
Therefore, none of the options (1), (2), or (3) is correct.
The correct answer is (D) None of these.