Question

If P(A) = 0.60, P(B) = 0.58, and P(A υ B) = 0.70, then P(A ∩ B) is:

Answer 1

Answer:

P(A) = 0.60 , P(B) = 0.58, and P(A υ B) = 0.70

P(A υ B) = P(A) + P(B) - P ( A ∩ B )

P ( A ∩ B ) = P(A) + P(B) -  P(A υ B)

                = 0.60 + 0.58 - 0.70

                = 0.48 ( answer )

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Answer 2

Answer:

P(A∩B)=0.48

Step-by-step explanation:

Given: P(A) = 0.60, P(B) = 0.58, and P(A υ B) = 0.70.

To find the value of P(A ∩ B).

We know that: P(A U B)=P(A)+P(B)-P(A∩B)    ...(1)

Substituting values P(A) = 0.60, P(B) = 0.58, and P(A U B) = 0.70 in equation (1) we get:

           P(A U B)=P(A)+P(B)-P(A∩B)

                 0.70=0.60+0.58-P(A∩B)

0.70-0.60-0.58= - P(A∩B)

                 0.48= P(A∩B)

Therefore, the value of P(A∩B)=0.48.

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