Events , , and occur in sequence. The following information is known: , , (event is…

MATHEMATICS · Subjective · CBSE · Mathematics · Probability · Probability

Problem

Events

A

B

C

and

D

occur in sequence. The following information is known:

P(A)=0.30

P(B\mid A)=0.50

P(C)=0.40

(event

C

is independent of both

A

and

B

), and

P(A\cap B\cap C\cap D)=0.018

. Find

P(D\mid A\cap B\cap C)