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Question

For two independent events A and B, if P(A) = 0.5 and P(B) = 0.3 , then the value of 100P(AB) =____.

A
75
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B
90
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C
65
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D
36
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Solution

The correct option is C 65
If A and B are two independent events, then P(AB)=P(A).P(B)
To find: P(AB)
P(AB)=P(A).P(B)
=0.5×0.3=0.15
P(AB)=P(A)+P(B)P(AB)
=0.5+0.30.15=0.65
100P(AB)=65

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