1
GATE ECE 2014 Set 1
Numerical
+1
-0
In a housing society, half of the families have a single child per family, while the remaining half have two children per family. The probability that a child picked at random, has a sibling is _______.
2
GATE ECE 2012
+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
+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
+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
$$\,10{c_2}\,{\left( {{1 \over 2}} \right)^{10}}$$
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