If an event B has occurred and it is known that P(B) = 1, the conditional probability P (A/B) is equal to ______.

P(A)

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P(B)

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One

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Zero

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Solution

The correct option is A P(A)
If B is an event whose probability is given then the conditional probability of A given B will be P(A intersection B) / P(B).
Since P(B) = 1
Therefore, P(A intersection B) = P(A)
P(A/B) = P(A)/ P(B) = P(A) / 1 = P(A).

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If an event B has occurred and it is known that P(B) = 1, the conditional probability P (A/B) is equal to ______.

The correct option is A P(A)If B is an event whose probability is given then the conditional probability of A given B will be P(A intersection B) / P(B). Since P(B) = 1 Therefore, P(A intersection B) = P(A) P(A/B) = P(A)/ P(B) = P(A) / 1 = P(A).

The correct option is A P(A)
If B is an event whose probability is given then the conditional probability of A given B will be P(A intersection B) / P(B).
Since P(B) = 1
Therefore, P(A intersection B) = P(A)
P(A/B) = P(A)/ P(B) = P(A) / 1 = P(A).