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Mathematics
Mathematics
Problem
7. A and B are two events such that
P
(
A
)
=
0.54
,
P
(
B
)
=
0.69
\mathrm{P}(\mathrm{A})=0.54, \mathrm{P}(\mathrm{B})=0.69
P
(
A
)
=
0.54
,
P
(
B
)
=
0.69
and
P
(
A
∩
B
)
=
0.35
\mathrm{P}(\mathrm{A} \cap \mathrm{B})=0.35
P
(
A
∩
B
)
=
0.35
. Find (i)
P
(
A
∪
B
)
\mathrm{P}(\mathrm{A} \cup \mathrm{B})
P
(
A
∪
B
)
(ii)
P
(
A
′
∩
B
′
)
\mathrm{P}\left(\mathrm{A}^{\prime} \cap \mathrm{B}^{\prime}\right)
P
(
A
′
∩
B
′
)
(iii)
P
(
A
∩
B
′
)
\mathrm{P}\left(\mathrm{A} \cap \mathrm{B}^{\prime}\right)
P
(
A
∩
B
′
)
(iv)
P
(
B
∩
A
′
)
\mathrm{P}\left(\mathrm{B} \cap \mathrm{A}^{\prime}\right)
P
(
B
∩
A
′
)
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