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3. If A and B are complements, then which of the following is true about the probability of B based on the probability of A?
(1) P(B)=P(A)+1
(3) P(B) =1/P(A)
(2) P(B)=1-P(A)
(4) P(B)=P(A)-1

Respuesta :

Answer:   P(B)=1 - P(A)

Reason:

Complementary events have their probabilities add to 1.

P(A)+P(B) = 1

P(B) = 1 - P(A)

For example,

P(A) = the chance it rains = 30% = 0.30

P(B) = the chance it doesn't rain

P(B) = 1 - P(A) = 1 - 0.30 = 0.70 = 70%

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