1
GATE EE 2015 Set 1
MCQ (Single Correct Answer)
+2
-0.6
Given Set $$\,\,\,A = \left\{ {2,3,4,5} \right\}\,\,\,$$ and Set $$\,\,\,B = \left\{ {11,12,13,14,15} \right\},\,\,\,$$ two numbers are randomly selected, one from each set. What is the probability that the sum of the two numbers equal $$16?$$
A
$$0.20$$
B
$$0.25$$
C
$$0.30$$
D
$$0.33$$
2
GATE EE 2015 Set 1
MCQ (Single Correct Answer)
+2
-0.6
Two players, $$A$$ and $$B,$$ alternately keep rolling a fair dice. The person to get a six first wins the game. Given that player $$A$$ starts the game, the probability that $$A$$ wins the game is
A
$$5/11$$
B
$$1/2$$
C
$$7/13$$
D
$$6/11$$
3
GATE EE 2014 Set 2
Numerical
+2
-0
Consider a die with the property that the probability of a face with $$'n'$$ dots showing up is proportional to $$'n'.$$ The probability of the face with three dots showing up is _________.
Your input ____
4
GATE EE 2014 Set 2
Numerical
+2
-0
Let $$X$$ be a random variable with probability density function $$f\left( x \right) = \left\{ {\matrix{ {0.2} & {for\,\left| x \right| \le 1} \cr {0.1} & {for\,1 < \left| x \right| \le 4} \cr 0 & {otherwise} \cr } } \right.$$

The probability $$P\left( {0.5 < x < 5} \right)$$ is _________.

Your input ____
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