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Mathematics
Problem
Let
{
E
1
,
E
2
,
…
,
E
n
}
\{E_1,E_2,\dots ,E_n\}
{
E
1
,
E
2
,
…
,
E
n
}
be a collection of mutually exclusive and exhaustive events with
P
(
E
i
)
≠
0
P(E_i)\neq 0
P
(
E
i
)
=
0
for every
i
i
i
, and let
A
A
A
be any event. Write the expression for
P
(
A
)
P(A)
P
(
A
)
in terms of
P
(
E
i
)
P(E_i)
P
(
E
i
)
and
P
(
A
∣
E
i
)
P(A\mid E_i)
P
(
A
∣
E
i
)
.
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