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Mathematics
Mathematics
Problem
Suppose
P
(
A
)
=
2
5
P(A) = \frac{2}{5}
P
(
A
)
=
5
2
,
P
(
B
∣
A
)
=
1
3
P(B | A) = \frac{1}{3}
P
(
B
∣
A
)
=
3
1
, and
P
(
B
∣
A
′
)
=
1
4
P(B | A') = \frac{1}{4}
P
(
B
∣
A
′
)
=
4
1
. a. Find
P
(
B
)
P(B)
P
(
B
)
. b. Are
A
A
A
and
B
B
B
independent events? Justify your answer.
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