Total probability theorem for JEE

Formula

If \(B_1,B_2,\dots,B_n\) form a partition of \(S\), then \(P(A)=\sum_{i=1}^{n}P(B_i)P(A\mid B_i)\)

Variables: \(B_i\): mutually exclusive and exhaustive events, \(A\): any event.

Conditions: Each \(P(B_i)>0\).

Multi-case probability computation.