SOLUTION: A and B are events in a sample space S such that P(A) = 0.41, P(B) = 0.31 and P(A and B) 0.11. Draw a Venn Diagram and use it to answer the following questions. a. P(A or B) b.

Algebra ->  Probability-and-statistics -> SOLUTION: A and B are events in a sample space S such that P(A) = 0.41, P(B) = 0.31 and P(A and B) 0.11. Draw a Venn Diagram and use it to answer the following questions. a. P(A or B) b.      Log On


   



Question 1139454: A and B are events in a sample space S such that P(A) = 0.41, P(B) = 0.31 and P(A and B) 0.11. Draw a Venn Diagram and use it to answer the following questions.
a. P(A or B)
b. P(A/B)

Answer by ikleyn(52851) About Me  (Show Source):
You can put this solution on YOUR website!
.
(a)  To solve (a), use the basic probability formula


         P(A or B) = P(A) + P(B) - P(A and B) = 0.41 + 0.31 - 0.11 = 0.62.



(b)  To solve (b), use the basic probability formula


        P(A | B) = P(A and B)/P(B) = 0.11%2F0.31.

Done.