1

GATE CSE 2006

MCQ (Single Correct Answer)

+2

-0.6

When a coin is tossed, the probability of getting a Head is p, 0 < p < 1. Let N be the random variable denoting the number of tosses till the first Head appears, including the toss where the Head appears. Assuming that successive tosses are indepandent, the expected value of N is

2

GATE CSE 2005

MCQ (Single Correct Answer)

+2

-0.6

Box P has 2 red balls and 3 blue balls and box Q has 3 red balls and 1 blue ball. A ball is selected as follows: (i) select a box (ii) choose a ball from the selected box such that each ball in the box is equally likely to be chosen. The probabilities of selecting boxes P and Q are 1/3 and 2/3, respectively. Given that a ball selected in the above process is a red ball, the probability that it came from the box P is:

3

GATE CSE 2005

MCQ (Single Correct Answer)

+2

-0.6

An unbiased coin is tossed repeatedly until the outcome of two successive tosses is the same. Assuming that the tails are independent, the expected number of tosses are

4

GATE CSE 2005

MCQ (Single Correct Answer)

+2

-0.6

A random bit string of length n is constructed by tossing a fair coin n times and setting a bit to 0 or 1 depending on outcomes head and tail, respectively. The probability that two such randomly generated strings are not identical is:

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)
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GATE CSE 2017 Set 2 (3)
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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