1
GATE ME 2015 Set 3
+1
-0.3
If $$P(X)$$ $$=$$ $$1/4,$$ $$P(Y) = 1/3,$$ and $$\,\,P\left( {X \cap Y} \right) = 1/12,\,\,$$ the value of $$P(Y/X)$$ is
A
$${1 \over 4}$$
B
$${4 \over 25}$$
C
$${1 \over 3}$$
D
$${29 \over 30}$$
2
GATE ME 2015 Set 1
+1
-0.3
The probability of obtaining at least two $$'SIX'$$ in throwing a fair dice $$4$$ times is
A
$$425/432$$
B
$$19/144$$
C
$$13/144$$
D
$$125/432$$
3
GATE ME 2015 Set 1
+1
-0.3
Ram and Ramesh appeared in an interview for two vacancies in the same department. The probability of Ram's selection is $$1/6$$ and that of Ramesh is $$1/8$$. What is the probability that only one of them will be selected?
A
$$47/48$$
B
$$1/4$$
C
$$13/48$$
D
$$35/48$$
4
GATE ME 2015 Set 1
+1
-0.3
Among the four normal distributions with probability density functions as shown below, which one has the lowest variance? A
$${\rm I}$$
B
$${\rm I}$$$${\rm I}$$
C
$${\rm I}$$$${\rm I}$$$${\rm I}$$
D
$${\rm I}$$$$V$$
GATE ME Subjects
Engineering Mechanics
Machine Design
Strength of Materials
Heat Transfer
Production Engineering
Industrial Engineering
Turbo Machinery
Theory of Machines
Engineering Mathematics
Fluid Mechanics
Thermodynamics
General Aptitude
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