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Question

If P(A) and P(¯¯¯¯A) are complementary events and P(A) = 0.15, then P(¯¯¯¯A)= ?


A

0.35

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B

0.3

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C

0.85

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D

Cannot be determined

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Solution

The correct option is C

0.85


Given,

P(A) = 0.15
Since P(A) and P(¯¯¯¯A) are complementary events,

P(A) + P(¯¯¯¯A) = 1

Because the sum of probabilities of an event and its complementary event is always 1.

P(¯¯¯¯A) = 1 P(A) = 1 – 0.15 = 0.85


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