If A and B are independent events with P(A) = 0.2 and P(B) = 0.6, then P(A U B)=

Discussion in 'Calculator Requests' started by math_celebrity, Apr 2, 2019.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    If A and B are independent events with P(A) = 0.2 and P(B) = 0.6, then P(A U B)=?

    We know the following formula for the probability of 2 events:
    P(A U B) = P(A) + P(B) - P(A intersection B)

    We're told A and B are independent, which makes P(A intersection B) = 0. So we're left with:
    P(A U B) = P(A) + P(B) - P(A intersection B)
    P(A U B) = 0.2 + 0.6 - 0
    P(A U B) = 0.8
     

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