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1
GATE CSE 2004
MCQ (Single Correct Answer)
+1
-0.3
If a fair coin is tossed four times, what is the probability that two heads and two tails will result?
A
3/8
B
$${\raise0.5ex\hbox{$\scriptstyle 1$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}$$
C
5/8
D
3/4
2
GATE CSE 2003
MCQ (Single Correct Answer)
+1
-0.3
Let P(E) denote the probability of the event E. Given P(A) = 1, P(B) = $${\raise0.5ex\hbox{$\scriptstyle 1$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}$$, the values of $$P\,(A\,\left| {B) \,} \right.$$ and $$P\,(B\,\left| {A) \,} \right.$$ respectively are
A
$${\raise0.5ex\hbox{$\scriptstyle 1$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 4$}},\,{\raise0.5ex\hbox{$\scriptstyle 1$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}$$
B
$${\raise0.5ex\hbox{$\scriptstyle 1$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}},\,{\raise0.5ex\hbox{$\scriptstyle 1$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 4$}}$$
C
$${\raise0.5ex\hbox{$\scriptstyle 1$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}},\,1$$
D
$$1,\,\,{\raise0.5ex\hbox{$\scriptstyle 1$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}$$
3
GATE CSE 1999
MCQ (Single Correct Answer)
+1
-0.3
Suppose that the expectation of a random variable X is 5. Which of the following statements is true?
A
There is a sample point at which X has the value 5.
B
There is a sample point at which X has the value greater than 5.
C
There is a sample point at which X has a value greater than or equal to 5.
D
None of the above.
4
GATE CSE 1999
MCQ (Single Correct Answer)
+1
-0.3
Suppose that the expectation of a random variable X is 5. Which of the following statements is true?
A
There is a sample point at which X has the value 5.
B
There is a sample point at which X has the value greater than 5.
C
There is a sample point at which X has a value greater than or equal to 5.
D
None of the above.
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Questions Asked from Marks 1
GATE CSE 2025 Set 1 (1) GATE CSE 2024 Set 2 (1) GATE CSE 2024 Set 1 (2) GATE CSE 2021 Set 2 (1) GATE CSE 2021 Set 1 (1) 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
Theory of Computation
Operating Systems
Algorithms
Digital Logic
Database Management System
Data Structures
Computer Networks
Software Engineering
Compiler Design
Web Technologies
General Aptitude
Discrete Mathematics
Programming Languages
Computer Organization