1
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
$${1 \over {2}}$$
2
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
$$\,10{c_2}\,{\left( {{1 \over 2}} \right)^{10}}$$
3
GATE ECE 2007
+1
-0.3
If $$E$$ denotes expectation, the variance of a random variable $$X$$ is given by
A
$$E\left( {{X^2}} \right) - {E^2}\left( X \right)$$
B
$$E\left( {{X^2}} \right) + {E^2}\left( X \right)$$
C
$$E\left( {{X^2}} \right)$$
D
$${E^2}\left( X \right)$$
4
GATE ECE 2005
+1
-0.3
A fair dice is rolled twice. The probability that an odd number will follow an even number is
A
$${1 \over 2}$$
B
$${1 \over 6}$$
C
$${1 \over 3}$$
D
$${1 \over 4}$$
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