Q. 365.0( 1 Vote )

(iii) 0.5                                  0.35



Answer :


(i) Here

P(A) = , P(B) =

P(A ∩ B) = P(A ∪ B) = ?

We know that

P(A ∪ B) = P(A) + P(B) – P(A ∩ B)

            = +

            = = =

(ii) Here, P(A) = 0.35

P(B) = ?

P(A ∩ B) = 0.25

P(A ∪ B) = 0.6

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

⇒ 0.6 = 0.35 + P(B) – 0.25

⇒ 0.85 – 0.35 = P(B)

⇒ P(B) = 0.5

(iii) Here P(A) = 0.5

P(B) = 0.35

P(A ∩ B) = ?

P(A ∪ B) = 0.7

P(A ∪ B) = P(A) + P(B) – P(A ∩ B)

0.7 = 0.5 + 0.35 – P(A ∩ B)

0.7 = 0.85 - P(A ∩ B)

P(A ∩ B) = 0.85 – 0.7 = 0.15

P(A ∩ B) = 0.15.

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
caricature
view all courses