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Q.

If A and B are two events such that P(A)=12  and  P(B)=23 then

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a

P(A∪B)≥23

b

P(A∪B)≥29

c

P(A∪B)≥12

d

P(A∪B)≤12

answer is A.

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Detailed Solution

A≤A∪B,B≤A∪B P(A)≤P(A∪B),             P(B)≤P(A∪B) 12≤P(A∪B),                        23≤P(A∪B)                         From these two               P(A∪B)≥23
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