GATE Questions & Answers of Joint and Conditional Probability

What is the Weightage of Joint and Conditional Probability in GATE Exam?

Total 4 Questions have been asked from Joint and Conditional Probability topic of Probability and Statistics subject in previous GATE papers. Average marks 1.75.

Parcels from sender S to receiver R pass sequentially through two post-offices. Each post-office has a probability $\frac{1}{5}$ of losing an incoming parcel, independently of all other parcels. Given that a parcel is lost, the probability that it was lost by the second post-office is_________.

An examination consists of two papers, Paper 1 and Paper 2. The probability of failing in Paper 1 is 0.3 and that in Paper 2 is 0.2. Given that a student has failed in Paper 2, the probability of failing in Paper 1 is 0.6. The probability of a student failing in both the papers is