I want to calculate probabilities like
$$P(B_1=1,B_2=0,B_3=0\mid C_1=1, C_2=1, C_3=0)$$
I know the separate pairwise conditional probabilities like
$P(B_1=1\mid C_1=1)$ for all $B_1,\ldots,B_n$ and $C_1,\ldots,C_n$
Can i utilize them and build joint probability?