Law of total probability
= Law of total probability
{wiki}
For a countable measurable partition $(B_i)$ with positive probabilities,
$$
\mathbb P(A)=\sum_i\mathbb P(A\mid B_i)\mathbb P(B_i).
$$
= Law of total probability
{wiki}
For a countable measurable partition $(B_i)$ with positive probabilities,
$$
\mathbb P(A)=\sum_i\mathbb P(A\mid B_i)\mathbb P(B_i).
$$