Discussion Forum



1)

If A,B , C arte three events associated witha random  experiment, then

$P(A)P(\frac{B}{A})P(\frac{C}{A}\cap B)$   is


A) $P(A \cup B\cap C)$

B) $P(A \cap B\cap C)$

C) $P(\frac{C}{A} \cap B)$

D) $P(\frac{B}{A} )$

Answer:

Option B

Explanation:

$P(A)P(\frac{B}{A})P(\frac{C}{A}\cap B)$

=  $P(A\cap B)P (\frac{C}{A}\cap B)$

=$\frac{P(A \cap B)P[C\cap (A\cap B)]}{P(A\cap B)}$

  =${P(A \cap B\cap C)}$