1
GATE ME 2013
+2
-0.6
The probability that a student knows the correct answer to a multiple choice question is $${2 \over 3}$$. If the student does not know the answer, then the student guesses the answer. The probability of the guessed answer being correct is $${1 \over 4}$$. Given that the student has answered the question correctly, the conditional probability that the student knows the correct answer is
A
$${2 \over 3}$$
B
$${3 \over 4}$$
C
$${5 \over 6}$$
D
$${8 \over 9}$$
2
GATE ME 2012
+2
-0.6
An automobile plant contracted to buy shock absorbers from two suppliers $$X$$ and $$Y$$. $$X$$ supplies $$60$$% and $$Y$$ supplies $$40$$% of the shock absorbers. All shock absorbers are subjected to a quality test. The ones that pass the quality test are considered reliable. Of $$X'$$ s shock absorbers, $$96$$% are reliable. Of $$Y'$$ s shock absorbers, $$72$$% are reliable. The probability that a randomly choosen shock absorber, which is found to reliable, is made by $$Y$$ is
A
$$0.288$$
B
$$0.334$$
C
$$0.667$$
D
$$0.720$$
3
GATE ME 2012
+2
-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
A
$$1/20$$
B
$$1/12$$
C
$$3/10$$
D
$${\raise0.5ex\hbox{\scriptstyle 1} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{\scriptstyle 2}}$$
4
GATE ME 2011
+2
-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 _______.
A
$${1 \over {32}}$$
B
$${13 \over {32}}$$
C
$${16 \over {32}}$$
D
$${31 \over {32}}$$
GATE ME Subjects
EXAM MAP
Medical
NEET