SOLUTION: suppose A and B are independent events. If P(A|B)=0.25 and P(B)=0.4, what is P(A U B)?

Question 1006925: suppose A and B are independent events. If P(A|B)=0.25 and P(B)=0.4, what is P(A U B)?
Answer by Edwin McCravy(20054) (Show Source): You can put this solution on YOUR website!
suppose A and B are independent events. If P(A|B)=0.25 and P(B)=0.4,
what is P(A U B)?

Since A and B are independent, P(A|B) = P(A) = 0.25, P(A&B)=P(A)P(B)

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

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

P(A U B) = 0.25 + 0.4 - (0.25)(0.4)

P(A U B) = 0.25 + 0.4 - 0.1

P(A U B) = 0.55

Edwin

RELATED QUESTIONS
Suppose P(A) = 0.25 and P(B) =0.15.If A and B are independent events but not mutually... (answered by ikleyn)

Suppose A and B are independent events. If P(A)=0.4 and P(B)=0.1, what is P(A U B)... (answered by fractalier)

Suppose A and B are independent events. If P(A)=0.4 and P(B)=0.1, what is P(A U B) ? (answered by fractalier)

Suppose A and B are independent events. If P(A)=0.4 and P(B)=0.45, what is P(A U... (answered by Fombitz)

if A and B are independent events P(a)=.4 and P(B)=.6 find P(A U... (answered by robertb)

If A and B are independent events and P(A)=0.40, what is P(A|B)? (answered by Edwin McCravy)

A and B are independent events. Round to 4 decimal places. P(A) = 0.33, P (A and B) =... (answered by ikleyn)

Given P(A) = 0.82, P(B) = 0.87, and the fact that events A and B are independent, What is (answered by ikleyn)

If events A and B are such that they are independent and P(A) = 0.3, P(B) = 0.5, find... (answered by ikleyn)