1

GATE CSE 2024 Set 1

MCQ (Single Correct Answer)

+1

-0.33

Consider a permutation sampled uniformly at random from the set of all permutations of {1, 2, 3, ..., *n*} for some *n* ≥ 4. Let *X* be the event that 1 occurs before 2 in the permutation, and *Y* the event that 3 occurs before 4. Which one of the following statements is TRUE?

2

GATE CSE 2024 Set 1

MCQ (More than One Correct Answer)

+1

-0.33

Let **A** and **B** be two events in a probability space with $P(A) = 0.3$, $P(B) = 0.5$, and $P(A \cap B) = 0.1$. Which of the following statements is/are TRUE?

3

GATE CSE 2019

Numerical

+1

-0.33

Two numbers are chosen independently and uniformly at random from the set {1, 2, ...., 13}. The probability (rounded off to 3 decimal places) that their 4-bit (unsigned) binary representations have the same most significant bit is ______.

Your input ____

4

GATE CSE 2017 Set 1

Numerical

+1

-0

Let $$X$$ be a Gaussian random variable with mean $$0$$ and variance $${\sigma ^2}$$ . Let $$Y=max(X,0)$$ where $$max(a, b)$$ is the maximum of $$a$$ and $$b$$. The median of $$Y$$ is ___________.

Your input ____

Questions Asked from Probability (Marks 1)

Number in Brackets after Paper Indicates No. of Questions

GATE CSE 2024 Set 2 (1)
GATE CSE 2024 Set 1 (2)
GATE CSE 2019 (1)
GATE CSE 2017 Set 1 (1)
GATE CSE 2016 Set 1 (1)
GATE CSE 2014 Set 2 (2)
GATE CSE 2014 Set 1 (1)
GATE CSE 2013 (1)
GATE CSE 2012 (1)
GATE CSE 2011 (2)
GATE CSE 2008 (1)
GATE CSE 2007 (1)
GATE CSE 2006 (1)
GATE CSE 2005 (2)
GATE CSE 2004 (2)
GATE CSE 2003 (1)
GATE CSE 1999 (2)
GATE CSE 1998 (1)
GATE CSE 1997 (1)
GATE CSE 1996 (1)
GATE CSE 1995 (1)
GATE CSE 1994 (1)

GATE CSE Subjects

Discrete Mathematics

Programming Languages

Theory of Computation

Operating Systems

Computer Organization

Database Management System

Data Structures

Computer Networks

Algorithms

Compiler Design

Software Engineering

Web Technologies

General Aptitude