Engineering Mathematics
Linear Algebra
Marks 1Marks 2
Vector Calculus
Marks 1Marks 2
Complex Variable
Marks 1Marks 2
Probability and Statistics
Marks 1Marks 2
Differential Equations
Marks 1Marks 2
Numerical Methods
Marks 1Marks 2
Transform Theory
Marks 1Marks 2
1
GATE ECE 2014 Set 3
MCQ (Single Correct Answer)
+1
-0.3
An unbiased coin is tossed an infinite number of times. The probability that the fourth head appears at the tenth toss is
A
$$0.067$$
B
$$0.073$$
C
$$0.082$$
D
$$0.091$$
2
GATE ECE 2012
MCQ (Single Correct Answer)
+1
-0.3
Two independent random variables $$X$$ and $$Y$$ are uniformly distributed in the interval $$\left[ { - 1,1} \right].$$ The probability that max $$\left[ {X,Y} \right]$$ is less than $$1/2$$ is
A
$$3/4$$
B
$$9/16$$
C
$$1/4$$
D
$$2/3$$
3
GATE ECE 2011
MCQ (Single Correct Answer)
+1
-0.3
A fair dice is tossed two times. The probability that the $$2$$nd toss results in a value that is higher than the first toss is
A
$${2 \over {36}}$$
B
$${2 \over {6}}$$
C
$${5 \over {12}}$$
D
$${1 \over {2}}$$
4
GATE ECE 2009
MCQ (Single Correct Answer)
+1
-0.3
A fair coin is tossed $$10$$ times. What is the probability that only the first two tosses will yield heads?
A
$${\left( {{1 \over 2}} \right)^2}$$
B
$$10{c_2}\,{\left( {{1 \over 2}} \right)^2}$$
C
$${\left( {{1 \over 2}} \right)^{10}}$$
D
$$\,10{c_2}\,{\left( {{1 \over 2}} \right)^{10}}$$
GATE ECE Subjects
Signals and Systems
Network Theory
Control Systems
Digital Circuits
General Aptitude
Electronic Devices and VLSI
Analog Circuits
Engineering Mathematics
Microprocessors
Communications
Electromagnetics