Q. 44.0( 2 Votes )

If A and B are two events associated with a random experiment such that P(A) = 0.25, P(B) = 0.4 and P(A or B) = 0.5, find the values of

(i) P(A and B)

(ii)

Answer :

(i)


Given : P(A) = 0.25, P(A or B) = 0.5 and P(B) = 0.4


To find : P(A and B)


Formula used : P(A or B) = P(A) + P(B) - P(A and B)


Substituting in the above formula we get,


0.5 = 0.25 + 0.4 – P(A and B)


0.5 = 0.65 - P(A and B)


P(A and B) = 0.65 – 0.5


P(A and B) = 0.15


P(A and B) = 0.15


(ii) Given : P(A) = 0.25, P(A and B) = 0.15 ( from part (i))


To find : P(A and )


Formula used : P(A and ) = P(A) – P(A and B)


Substituting in the above formula we get,


P(A and ) = 0.25 – 0.15


P(A and ) = 0.10


P(A and ) = 0.10


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