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Probability Test - 6

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Probability Test - 6
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  • Question 1
    1 / -0

    Let A and B be independent events with P (A) = 0.3 and P(B) = 0.4. Find P(A ∩ B)

    Solution

    Let A and B be independent events with P (A) = 0.3 and P(B) = 0.4
    P( A ∩ B ) = P(A) . P(B)

    ⇒P( A ∩ B ) = 0.3 × 0.4 = 0.12

  • Question 2
    1 / -0

    Let A and B be independent events with P (A) = 0.3 and P(B) = 0.4.Find P(A ∪ B)

    Solution

    Let A and B be independent events with P (A) = 0.3 and P(B) = 0.4
    Since the events are independent, P(A ∩ B) = P(A).P(B)

    Therefore P(A ∪ B) = P(A) + P(B)  = 0.3 + 0.4 - 0.12 = 0.58

  • Question 3
    1 / -0

    Let A and B be independent events with P (A) = 0.3 and P(B) = 0.4. Find P (A|B)

    Solution

    Let A and B be independent events with P (A) = 0.3 and P(B) = 0.4 P(A/B) = P(A) = 0.3.

  • Question 4
    1 / -0

     Let A and B be independent events with P (A) = 0.3 and P(B) = 0.4. Find P(B|A).

    Solution

    Let A and B be independent events with P (A) = 0.3 and P(B) = 0.4. P(B/A) = P(B) = 0.4

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