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Mathematics
Mathematics
Problem
7. Given that the events A and B are such that
P
(
A
)
=
1
2
,
P
(
A
∪
B
)
=
3
5
\mathrm{P}(\mathrm{A})=\frac{1}{2}, \mathrm{P}(\mathrm{A} \cup \mathrm{B})=\frac{3}{5}
P
(
A
)
=
2
1
,
P
(
A
∪
B
)
=
5
3
and
P
(
B
)
=
p
\mathrm{P}(\mathrm{B})=p
P
(
B
)
=
p
. Find
p
p
p
if they are (i) mutually exclusive (ii) independent. (i) mutually exclusive (ii) independent
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