1

GATE CSE 2021 Set 1

Numerical

+2

-0.67

A sender (S) transmits a signal, which can be one of the two kinds: H and L with probabilities 0.1 and 0.9 respectively, to a receiver (R).

In the graph below, the weight of edge (u, v) is the probability of receiving v when u is transmitted, where u, v ∈ {H, L}. For example, the probability that the received signal is L given the transmitted signal was H, is 0.7.

If the received signal is H, the probability that the transmitted signal was H (rounded to 2 decimal places) is ______

Your input ____

2

GATE CSE 2020

Numerical

+2

-0.67

For n > 2, let a {0, 1}

Then, the probability that $$\sum\limits_{i = 1}^n {{a_i}{x_i}} $$ is an odd number is _______.

^{n}be a non-zero vector. Suppose that x is chosen uniformly at random from {0, 1}^{n}.Then, the probability that $$\sum\limits_{i = 1}^n {{a_i}{x_i}} $$ is an odd number is _______.

Your input ____

3

GATE CSE 2019

Numerical

+2

-0.67

Suppose Y is distributed uniformly in the open interval (1,6). The probability that the polynomial 3x

^{2}+ 6xY + 3Y + 6 has only real roots is (rounded off to 1 decimal place) _____.Your input ____

4

GATE CSE 2018

Numerical

+2

-0

Two people, $$P$$ and $$Q,$$ decide to independently roll two identical dice, each with $$6$$ faces, numbered $$1$$ to $$6.$$ The person with the lower number wins. In case of a tie, they roll the dice repeatedly until there is no tie. Define a trial as a throw of the dice by $$P$$ and $$Q.$$ Assume that all $$6$$ numbers on each dice are equi-probable and that all trials are independent. The probability (rounded to $$3$$ decimal places) that one of them wins on the third trial is _____.

Your input ____

Questions Asked from Probability (Marks 2)

Number in Brackets after Paper Indicates No. of Questions

GATE CSE 2024 Set 2 (1)
GATE CSE 2024 Set 1 (1)
GATE CSE 2023 (1)
GATE CSE 2021 Set 1 (3)
GATE CSE 2020 (1)
GATE CSE 2019 (1)
GATE CSE 2018 (2)
GATE CSE 2017 Set 2 (3)
GATE CSE 2016 Set 2 (1)
GATE CSE 2016 Set 1 (1)
GATE CSE 2015 Set 1 (2)
GATE CSE 2015 Set 3 (1)
GATE CSE 2014 Set 1 (1)
GATE CSE 2014 Set 3 (1)
GATE CSE 2014 Set 2 (1)
GATE CSE 2012 (1)
GATE CSE 2011 (2)
GATE CSE 2010 (2)
GATE CSE 2009 (1)
GATE CSE 2008 (3)
GATE CSE 2007 (1)
GATE CSE 2006 (1)
GATE CSE 2005 (3)
GATE CSE 2004 (3)
GATE CSE 2002 (1)
GATE CSE 2001 (1)
GATE CSE 2000 (1)
GATE CSE 1999 (2)
GATE CSE 1996 (1)
GATE CSE 1995 (1)

GATE CSE Subjects

Theory of Computation

Operating Systems

Algorithms

Database Management System

Data Structures

Computer Networks

Software Engineering

Compiler Design

Web Technologies

General Aptitude

Discrete Mathematics

Programming Languages