1
GATE IN 2014
Numerical
+2
-0
The figure shown the schematic of a production process with machines $$A, B$$ and $$C.$$ An input job needs to be pre-processed either by $$A$$ or by $$B$$ before it is fed to $$C,$$ from which the final finished product comes out. The probabilities of failure of the machines are given as:
$${P_{\rm A}} = 0.15,\,\,{P_{\rm B}} = 0.05\,\,\& \,\,{P_C} = 0.1$$

Assuming independence of failures of the machines, the probability that a given job is successfully processed (up to the third decimal place) is _____.

2
GATE IN 2012
MCQ (Single Correct Answer)
+2
-0.6
A fair coin is tossed till a head appears for the first time. The probability that the number of required tosses is odd, is
A
$$1/3$$
B
$$1/2$$
C
$$2/3$$
D
$$3/4$$
3
GATE IN 2011
MCQ (Single Correct Answer)
+2
-0.6
The box $$1$$ contains chips numbered $$3, 6, 9,$$ $$12$$ and $$15$$. The box $$2$$ contains chips numbered $$6, 11, 16, 21$$ and $$26$$. Two chips, one from each box are drawn at random. The numbers written on these chips are multiplied. The probability for the product to be an even number is ______________.
A
$${6 \over {25}}$$
B
$${2 \over {5}}$$
C
$${3 \over {5}}$$
D
$${19 \over {25}}$$
4
GATE IN 2008
MCQ (Single Correct Answer)
+2
-0.6
Consider a Gaussian distributed random variable with zero mean and standard deviation $$\sigma .\,\,\,$$ The value of its cumulative distribution function at the origin will be
A
$$0$$
B
$$0.5$$
C
$$1$$
D
$$10\,\sigma$$
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