Probability of intersection for independent events for JEE

Formula

If \(A_1,A_2,\dots,A_n\) are independent, then \(P\left(\bigcap_{i=1}^{n}A_i\right)=\prod_{i=1}^{n}P(A_i)\).

Variables: \(A_i\): independent events.

Conditions: Mutual independence assumed.

All events occur.