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27 December, 08:05

An event A will occur with probability 0.5. An event B will occur with probability 0.6. The probability that both A and B will occur is 0.1.

Which of the following is the conditional probability of A, given B?

A. 5/6

B. 1/5

C. 1/6

D. The answer cannot be determined from the information given

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Answers (1)
  1. 27 December, 11:49
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    (C) 1/6

    Step-by-step explanation:

    Pr that event A will occur = 0.5

    Pr that event B will occur = 0.6

    Pr that both A and B occurs = 0.1

    Pr (A) = 0.5

    Pr (B) = 0.6

    Pr (AnB) = 0.1

    The conditional probability of A given B is Pr (A|B) = Pr (AnB) / Pr (A)

    = 0.1/0.6

    = 1/6 (C)
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