1
GATE PI 2008
+2
-0.6
In a game, two players $$X$$ and $$Y$$ toss a coin alternately. Whoever gets a 'head' first, wins the game and the game is terminated. Assuming that players $$X$$ starts the game the probability of player $$X$$ winning the game is
A
$$1/3$$
B
$$1/4$$
C
$$2/3$$
D
$$3/4$$
2
GATE PI 2007
+2
-0.6
If $$X$$ is a continuous random variable whose probability density function is given by $$\,\,\,f\left( x \right) = \left\{ {\matrix{ {k\left( {5x - 2{x^2}} \right),} & {0 \le x \le 2} \cr {0,} & {Otherwise} \cr } } \right.\,\,\,\,$$\$
Then $$P\left( {x > 1} \right)$$ is
A
$$3/14$$
B
$$4/5$$
C
$$14/17$$
D
$$17/28$$
3
GATE PI 2007
+2
-0.6
Two cards are drawn at random in succession with replacement from a deck of $$52$$ well shuffled cards Probability of getting both 'Aces' is
A
$${1 \over {169}}$$
B
$${2 \over {169}}$$
C
$${1 \over {13}}$$
D
$${2 \over {13}}$$
GATE PI Subjects
Engineering Mechanics
Strength of Materials
Theory of Machines
Engineering Mathematics
Machine Design
Fluid Mechanics
Heat Transfer
Thermodynamics
Casting
Joining of Materials
Metal Forming
Machine Tools and Machining
Metrology
Industrial Engineering
EXAM MAP
Joint Entrance Examination