Probability 1 Marks

 GATE 2019 Set-1 

1. The lengths of a large stock of titanium rods follow a normal distribution with a mean (𝜇) of 440 mm and a standard deviation (𝜎) of 1 mm. What is the percentage of rods whose lengths lie between 438 mm and 441 mm?

(A) 81.85%

(B) 68.4%

(C) 99.75%

(D) 86.64%


 GATE 2019 Set-2 

1. If is the mean of data 3, x, 2 and 4, then the mode is____


 GATE 2018 Set-1 

1. Four red balls, four green balls and four blue balls are put in a box. Three balls are pulled out of the box at random one after another without replacement. The probability that all the three balls are red is

(A) 1/72

(B) 1/55

(C) 1/36

(D) 1/27


2. A six-faced fair dice is rolled five times. The probability (in %) of obtaining “ONE” atleast four times is

(A) 33.3

(B) 3.33

(C) 0.33

(D) 0.0033


 GATE 2017 Set-1 

1. A six-face fair dice is rolled a large number of times. The mean value of the outcomes is ______.


 GATE 2017 Set-2 

1. The standard deviation of linear dimensions P and Q are 3μm and 4μm respectively. When assembled, the standard deviation (in μm) of the resulting linear dimension (P+Q) is ________


2. Two coins are tossed simultaneously. The probability (upto two decimal points accuracy) of getting at least one head is ____________


3. A sample of 15 data is a follows: 17, 18, 17, 17, 13, 18, 5, 5, 6, 7, 8, 9, 20, 17, 3. The mode of the data is

(A) 4

(B) 13

(C) 17

(D) 20


 GATE 2016 Set-1 

1. Consider a Poisson distribution for the tossing of a biased coin. The mean for this distribution is µ. The standard deviation for this distribution is given by

(A) õ

(B) µ2

(C) µ

(D) 1/µ


 GATE 2016 Set-3 

1. The area (in percentage) under standard normal distribution curve of random variable Z within limits from −3 to +3 is __________


 GATE 2015 Set-1 

  1. Among the four normal distributions with probability density functions as shown below, which one has the lowest variance?

(A) I

(B) II


(D) IV


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