Q. 11

# Kamal and Vimal appeared for an interview for two vacancies. The probability of Kamal’s selection is 1/3, and that of Vimal’s selection is 3. Find the probability that only one of them will be selected.

Given: let A denote the event ‘kamal is selected’ and let B denote the event ‘vimal is selected’.

Therefore , P(A) = and P(B) =

Also, A and B are independent .A and not B are independent, not A and B are independent.

To Find:The probability that only one of them will be selected.

Now ,

P(only one of them is selected) = P(A and not B or B and not A)

= P(A and not B) + (B and not A)

= P( A ) + P(B )

= P(A) P() + P(B) P()

= P(A) [1-P(B)]+ P(B) [1-P(A)]

= [1-] + [1-]

= +

=

Therefore , The probability that only one of them will be selected is

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Probability of occurrence of an event | Quiz Time45 mins
Remove all Confusions about Inclusion & Exclusion in Probability32 mins
Probability of occurrence of an event45 mins
How well you understand about Inclusion & Exclusion in Probability? Lets Test57 mins
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