Puzzle | Probability of finding a job

** Puzzle:** There is a interview going on and Ram is selected for interview to 3 posts. The total number of candidates appearing for the first, second and the third posts are 3, 4 and 2 respectively. Find the probability of Ram getting at least one job.

Assume that the probabilities are independent of each other.

** Answer:** 3/4

__Solution__:

- Since we need to find the probability of Ram getting at least one job, let’s try to find the probability of Ram not getting any jobs.
- Probability of Ram getting rejected from the interview of the first post is 2/3.
- Probability of Ram getting rejected from the interview of the second post is 3/4.
- Probability of Ram getting rejected from the interview of the third post is 1/2.
- Thus the probability of Ram getting rejected from all of the posts = (2/3)*(3/4)*(1/2) = 6/24 = 1/4.
- Therefore the probability of Ram getting at least one offer = 1-(1/4) = 3/4.