Discrete Mathematics
Set Theory & Algebra
Marks 1Marks 2Marks 5
Linear Algebra
Marks 1Marks 2
Combinatorics
Marks 1Marks 2
Mathematical Logic
Marks 1Marks 2Marks 5
Probability
Marks 1Marks 2
1
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
$$1,\,\,{\raise0.5ex\hbox{$\scriptstyle 1$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}$$
2
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.
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 1998
MCQ (Single Correct Answer)
+1
-0.3
A die is rolled three times. The probability that exactly one odd number turns up among the three outcomes is
A
1/6
B
3/8
C
1/8
D
1/2
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