1. Solve the following:
A.
Let A and B be events in a sample space S such that P(A) = 0.41, P(B) = 0.46 and P(A / B) = 0.14. Find P(A | B).
a) 0.3415
b) 0.0217
c) 0.8913
d) 0.1609
e) 0.3043
f) None of the above.
B.
Let A and B be events in a sample space S such that P(A) = 13?50 , P(B) = 49?100 , and P(A ? B) = 1?10 . Find P(B | Ac ).
Hint: Draw a Venn Diagram to find P(B ⊃ A).
a) 0.7959
b) 0.1351
c) 0.5270
d) 0.6622
e) 1.8846
f) None of the above.
C.
Suppose that A and B are independent events. If P(A) = 3/10 and P(B) = 1/2 , find P(A / B).
a) 0.15
b) 0.03
c) 1.00
d) 0.08
e) 0.05
f) None of the above.
