GATE ME 2012 | Probability and Statistics Question 27 | Engineering Mathematics

GATE ME 2012

MCQ (Single Correct Answer)

-0.6

A box contains $$4$$ red balls and $$6$$ black balls. Three balls are selected randomly from the box one after another, without replacement. The probability that the selected set contains one red ball and two black balls is

$$1/20$$

$$1/12$$

$$3/10$$

$${\raise0.5ex\hbox{$\scriptstyle 1$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}$$

GATE ME 2011

MCQ (Single Correct Answer)

-0.6

An unbiased coin is tossed five times. The outcome of each loss is either a head or a tail. Probability of getting at least one head is _______.

$${1 \over {32}}$$

$${13 \over {32}}$$

$${16 \over {32}}$$

$${31 \over {32}}$$

GATE ME 2007

MCQ (Single Correct Answer)

-0.6

Let $$X$$ and $$Y$$ be two independent random variables. Which one of the relations $$b/w$$ expectation $$(E),$$ variance $$\left( {{V_{ar}}} \right)$$ and covariance $$\left( {{C_{ov}}} \right)$$ given below is FALSE?

$$E\left( {XY} \right) = E\left( X \right)E\left( Y \right)$$

$${\mathop{\rm cov}} \left( {X,Y} \right) = 0$$

$$Var\left( {X + Y} \right) = Var\left( X \right) + Var\left( Y \right)$$

$$\,E\left( {{X^2}{Y^2}} \right) = {\left( {E\left( X \right)} \right)^2}\,{\left( {E\left( Y \right)} \right)^2}$$

GATE ME 2005

MCQ (Single Correct Answer)

-0.6

A single die is thrown two times. What is the probability that the sum is neither $$8$$ nor $$9?$$

$${1 \over 9}$$

$${5 \over 36}$$

$${1 \over 4}$$

$${3 \over 4}$$