1

GATE CSE 2016 Set 1

Numerical

+2

-0

Consider the following experiment.

**Step1:**Flip a fair coin twice.**Step2:**If the outcomes are (TAILS, HEADS) then output $$Y$$ and stop.**Step3:**If the outcomes are either (HEADS, HEADS) or (HEADS, TAILS), then output $$N$$ and stop.**Step4:**If the outcomes are (TAILS, TAILS), then go to Step 1.The probability that the output of the experiment is $$Y$$ is (up to two decimal places) _____________.

Your input ____

2

GATE CSE 2015 Set 3

Numerical

+2

-0

Suppose $${X_i}$$ for $$i=1,2,3$$ are independent and identically distributed random variables whose probability mass functions are $$\,\,\Pr \left[ {{X_i} = 0} \right] = \Pr \left[ {{X_i} = 1} \right] = 1/2\,\,$$ for $$i=1,2,3.$$ Define another random variable $$\,\,Y = {X_1}{X_2} \oplus {X_3},\,\,$$ where $$ \oplus $$ denotes $$XOR.$$ Then $$\Pr \left[ {Y = 0\left| {{X_3} = 0} \right.} \right]$$ =________.

Your input ____

3

GATE CSE 2015 Set 1

MCQ (Single Correct Answer)

+2

-0.6

Given Set $$\,\,\,A = \left\{ {2,3,4,5} \right\}\,\,\,$$ and Set $$\,\,\,B = \left\{ {11,12,13,14,15} \right\},\,\,\,$$ two numbers are randomly selected, one from each set. What is the probability that the sum of the two numbers equal $$16?$$

4

GATE CSE 2015 Set 1

MCQ (Single Correct Answer)

+2

-0.6

The probabilities that a student passes in Mathematics, Physics and Chemistry are $$m, p$$ and $$c$$ respectively. Of these subjects, the student has $$75$$% chance of passing in at least one, a $$50$$% chance of passing in at least two and a $$40$$% chance of passing in exactly two. Following relations are drawn in $$m, p, c:$$

$${\rm I}.$$ $$\,\,\,\,\,\,$$ $$p+m+c=27/20$$

$${\rm I}{\rm I}.$$ $$\,\,\,\,\,\,$$ $$p+m+c=13/20$$

$${\rm I}{\rm I}{\rm I}.$$ $$\,\,\,\,\,\,$$ $$\left( p \right) \times \left( m \right) \times \left( c \right) = 1/10$$

$${\rm I}.$$ $$\,\,\,\,\,\,$$ $$p+m+c=27/20$$

$${\rm I}{\rm I}.$$ $$\,\,\,\,\,\,$$ $$p+m+c=13/20$$

$${\rm I}{\rm I}{\rm I}.$$ $$\,\,\,\,\,\,$$ $$\left( p \right) \times \left( m \right) \times \left( c \right) = 1/10$$

Questions Asked from Probability (Marks 2)

Number in Brackets after Paper Indicates No. of Questions

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 3 (1)
GATE CSE 2015 Set 1 (2)
GATE CSE 2014 Set 2 (1)
GATE CSE 2014 Set 3 (1)
GATE CSE 2014 Set 1 (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