SOLUTION: A and B are independent events. Round to 4 decimal places. P(A) = 0.33, P (A and B) = 0.05, find P(B) P(B) =

Algebra ->  Probability-and-statistics -> SOLUTION: A and B are independent events. Round to 4 decimal places. P(A) = 0.33, P (A and B) = 0.05, find P(B) P(B) =      Log On


   



Question 1182483: A and B are independent events.
Round to 4 decimal places.
P(A) = 0.33, P (A and B) = 0.05, find P(B)
P(B) =

Answer by ikleyn(52767) About Me  (Show Source):
You can put this solution on YOUR website!
.

Since the events A and B are independent,


    P(A and B) = P(A)*P(B).


by the definition.  It gives


    0.05 = 0.33*P(B),


which implies


    P(B) = 0.05%2F0.33 = 0.1515   (rounded).    ANSWER

Solved.