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Suppose , , and…
MATHEMATICS · Multi-part · CBSE · Mathematics · Probability · Probability
Problem
Suppose
P
(
A
)
=
2
5
P(A)=\frac25
P
(
A
)
=
5
2
,
P
(
B
∣
A
)
=
1
3
P(B\mid A)=\frac13
P
(
B
∣
A
)
=
3
1
, and
P
(
B
∣
A
′
)
=
1
4
P(B\mid A')=\frac14
P
(
B
∣
A
′
)
=
4
1
. (1) Find
P
(
B
)
P(B)
P
(
B
)
. (2) Are
A
A
A
and
B
B
B
independent events? Justify your answer.
Related theory
Independent Events
Independence
Total Probability Theorem
Probability Rules
Conditional Probability
Probability
Total probability and Bayes' theorem
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