2. Use the Venn diagram below (illustrating a sample space S consisting of equally likely outcomes (the
lower case letters) and events A and B to answer parts (a) and (b).
A
C
b
P
a
n
f
(a) [5 points] P(A|B) =
(!)
d
m
B
h
k
S
(ii) //
(iii)
(iv) neither (i), (ii), nor (iii)
(vi)
01 (HI)
(b) [5 points] Are A and B independent events?
(i) Yes
(ii) No
(11) 40