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23 November, 10:01

Given independent events A and B such that P (A) = 0.3 and P (B) = 0.5, which of the following is a correct statement?

(A) P (A/B) = 0

(B) P (B|A) = 0.3

(C) P (AB) = 0.5

(D) P (AUB) = 0.65

(E) P (AUB) = 0.80

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Answers (1)
  1. 23 November, 10:30
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    (D) P (AUB) = 0.65

    Step-by-step explanation:

    Since A and B are independent:

    P (A ^ B)

    = P (A) * P (B)

    = 0.3 * 0.5 = 0.15

    P (AUB) = P (A) + P (B) - P (A^B)

    = 0.3 + 0.5 - 0.15

    = 0.65
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