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Mathematics
Mathematics
Problem
18. Two events
A
A
A
and
B
B
B
will be independent, if (A) A and B are mutually exclusive (B)
P
(
A
′
B
′
)
=
[
1
−
P
(
A
)
]
[
1
−
P
(
B
)
]
\mathrm{P}\left(\mathrm{A}^{\prime} \mathrm{B}^{\prime}\right)=[1-\mathrm{P}(\mathrm{A})][1-\mathrm{P}(\mathrm{B})]
P
(
A
′
B
′
)
=
[
1
−
P
(
A
)]
[
1
−
P
(
B
)]
(C)
P
(
A
)
=
P
(
B
)
\mathrm{P}(\mathrm{A})=\mathrm{P}(\mathrm{B})
P
(
A
)
=
P
(
B
)
(D)
P
(
A
)
+
P
(
B
)
=
1
\mathrm{P}(\mathrm{A})+\mathrm{P}(\mathrm{B})=1
P
(
A
)
+
P
(
B
)
=
1
(A) A and B are mutually exclusive (B)
P
(
A
′
B
′
)
=
[
1
−
P
(
A
)
]
[
1
−
P
(
B
)
]
\mathrm{P}\left(\mathrm{A}^{\prime} \mathrm{B}^{\prime}\right)=[1-\mathrm{P}(\mathrm{A})][1-\mathrm{P}(\mathrm{B})]
P
(
A
′
B
′
)
=
[
1
−
P
(
A
)]
[
1
−
P
(
B
)]
(C)
P
(
A
)
=
P
(
B
)
\mathrm{P}(\mathrm{A})=\mathrm{P}(\mathrm{B})
P
(
A
)
=
P
(
B
)
(D)
P
(
A
)
+
P
(
B
)
=
1
\mathrm{P}(\mathrm{A})+\mathrm{P}(\mathrm{B})=1
P
(
A
)
+
P
(
B
)
=
1
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