Independent events
= Independent events
Events $A_1,\ldots,A_n$ are mutually independent when
$$
\mathbb P\left(\bigcap_{j\in J}A_j\right)
=\prod_{j\in J}\mathbb P(A_j)
$$
for every finite index set $J$.
= Independent events
Events $A_1,\ldots,A_n$ are mutually independent when
$$
\mathbb P\left(\bigcap_{j\in J}A_j\right)
=\prod_{j\in J}\mathbb P(A_j)
$$
for every finite index set $J$.