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

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

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
 
Back
Top