Q14 of 54 Page 403

Given P(A) = and P(B) =. Find P(A or B), if A and B are mutually exclusive events.

Given:


Since A and B are mutually exclusive events.


∴P(A∪B) or P(A or B) = P(A) + P(B)



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12

Check whether the following probabilities P(A) and P(B) are consistently defined

(i) P(A) = 0.5, P(B) = 0.7, P(A B) = 0.6


(ii) P(A) = 0.5, P(B) = 0.4, P(A B) = 0.8

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Fill in the blanks in following table:

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If E and F are events such that P (E) =, P(F) = and P(E and F) =, find

(i) P (E or F)


(ii) P (not E and not F).

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Events E and F are such that P (not E or not F) = 0.25, State whether E and F are mutually exclusive.