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
view all courses
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
