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15 October, 15:46

If P (A) = 0.50, P () = 0.40, and P (AuB) = 0.15

a=0.55

b=0.65

c=0.90

d=0.75

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Answers (1)
  1. 15 October, 19:09
    0
    P (A ∩ B) = 0.75 (option d)

    Step-by-step explanation:

    P (A) = 0.50

    P (B) = 0.40

    P (A U B) = 0.15

    P (A ∩ B) = ?

    P (A U B) = P (A) + P (B) - P (A ∩ B)

    Replacing the given values:

    0.15=0.50+0.40-P (A ∩ B)

    Adding like terms:

    0.15=0.90-P (A ∩ B)

    Solving for P (A ∩ B):

    Subtracting 0.90 both sides of the equation:

    0.15-0.90=0.90-P (A ∩ B) - 0.90

    Subtracting:

    -0.75 = - P (A ∩ B)

    Multiplying both sides of the equation by - 1:

    (-1) (-0.75) = (-1) (-P (A ∩ B))

    0.75 = P (A ∩ B)

    P (A ∩ B) = 0.75
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