## Probability

# Multiplication Theorem on Probability

- If A and B are dependent events, then

\tt P(E_{1} \cap E_{2} \cap E_{3}) = P(E_{1})P(E_{2}/E_{1})P(E_{3}/E_{1} \cap E_{2}) -
If A

_{1}, A_{2}, ....., A_{n}are n events associated with a random experiment, thenP(A

_{1}∩ A_{2 }∩ ..... ∩ A_{n}) = P(A_{1}) P(A_{2 }/ A_{1}) P(A_{3 }/ (A_{1}∩ A_{2})) ..... P(A_{n}/ A_{1}∩ A_{2 }∩ A_{3 }∩..... ∩ A_{n − 1}))

### View the Topic in this video From 04:00 To 14:30

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1. If A and B are two events associated with a random experiment, then

P(A ∩ B) = P(A)P(B / A), if P(A) ≠ 0** (or) **P(A ∩ B) = P(B) P(A / B), if P(B) ≠ 0