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Mathematics
Problem
Explain in one or two sentences why the quantity
∑
i
=
1
n
P
(
E
i
)
P
(
A
∣
E
i
)
\sum_{i=1}^{n} P(E_i)\,P(A\mid E_i)
∑
i
=
1
n
P
(
E
i
)
P
(
A
∣
E
i
)
equals
P
(
A
)
P(A)
P
(
A
)
when
{
E
1
,
…
,
E
n
}
\{E_1,\dots,E_n\}
{
E
1
,
…
,
E
n
}
forms a partition of the sample space.
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