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
Fluid Mechanics
Metrology
Theory of Machines
Machine Tools and Machining
Industrial Engineering
Engineering Mechanics
Thermodynamics
Machine Design
Casting
Joining of Materials
Metal Forming
EXAM MAP
Medical
NEET