Q. 75.0( 4 Votes )

If P (not B) = 0.65, P (A B) = 0.85, and A and B are independent events, then find p (A).

Answer :

We know that,


P (A B)=P(A)+P(B)–P(AB)


P(not B)=1–P(B)


=1–0.65=0.35


Given that A and B are independent events,



Therefore,


P (A B)=P(A)+P(B)–P(AB)


=P(A)+P(B)–[P(A)*P(B)]


P (A B)=P(A)[1–P(B)]+P(B)


0.85=P(A)*0.65+0.35


P(A)*0.65=0.50



Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses