Elementary Statistics - Probability - General Aptitude (GA) Previous Year Questions

1

2015 · General Aptitude (GA) · Probability · Elementary Statistics

Electrical Engineering (EE) 2015 [Session 1]

Given Set A = {2, 3, 4, 5} and Set B = {11, 12, 13, 14, 15}, two numbers are randomly selected, one from each set. What is the probability that the sum of the two numbers equals 16?

A

0.20

B

0.25

C

0.30

D

0.33

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2

2015 · General Aptitude (GA) · Probability · Elementary Statistics

Electrical Engineering (EE) 2015 [Session 1]

The probabilities that a student passes in Mathematics, Physics and Chemistry are m, p, and c respectively. Of these subjects, the student has 75% chance of passing in at least one, a 50% chance of passing in at least two and a 40% chance of passing in exactly two. Following relations are drawn in m, p, c:
(I) p + m + c = 27/20
(II) p + m + c = 13/20
(III) (p)×(m)×(c) = 1/10

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3

2015 · General Aptitude (GA) · Probability · Elementary Statistics

Electrical Engineering (EE) 2015 [Session 1]

Two players, A and B, alternately keep rolling a fair dice. The person to get a six first wins the game. Given that player A starts the game, the probability that A wins the game is

A

5/11

B

1/2

C

7/13

D

6/11

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4

2015 · General Aptitude (GA) · Probability · Elementary Statistics

Electrical Engineering (EE) 2015 [Session 2]

Two coins R and S are tossed. The 4 joint events H_R H_S, H_R T_S, T_R H_S, T_R T_S have probabilities 0.28, 0.18, 0.30, 0.24, respectively, where H represents head and T represents tail. Which one of the following is TRUE?
(A) The coin tosses are independent.
(B) R is fair, S is not.
(C) S is fair, R is not.
(D) The coin tosses are dependent.

A

The coin tosses are independent.

B

R is fair, S is not.

C

S is fair, R is not.

D

The coin tosses are dependent.

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5

2017 · General Aptitude (GA) · Probability · Elementary Statistics

Electrical Engineering (EE) 2017 [Session 1]

The probability that a \(k\)-digit number does NOT contain the digits 0, 5, or 9 is

A

0.3^k

B

0.6^k

C

0.7^k

D

0.9^k

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6

2017 · General Aptitude (GA) · Probability · Elementary Statistics

Electrical Engineering (EE) 2017 [Session 2]

There are 3 red socks, 4 green socks and 3 blue socks. You choose 2 socks. The probability that they are of the same colour is

A

1/5

B

7/30

C

1/4

D

4/15

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7

2018 · General Aptitude (GA) · Probability · Elementary Statistics

Electrical Engineering (EE) 2018

A class of twelve children has two more boys than girls. A group of three children are randomly picked from this class to accompany the teacher on a field trip. What is the probability that the group accompanying the teacher contains more girls than boys?

A

0

B

\(\frac{325}{864}\)

C

\(\frac{525}{864}\)

D

\(\frac{5}{12}\)

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8

2021 · General Aptitude (GA) · Probability · Elementary Statistics

Electrical Engineering (EE) 2021

Let X be a continuous random variable denoting the temperature measured. The range of temperature is [0, 100] degree Celsius and let the probability density function of X be f(x) = 0.01 for 0 ≤ X ≤ 100.
The mean of X is ____.

A

2.5

B

5.0

C

25.0

D

50.0

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9

2022 · General Aptitude (GA) · Probability · Elementary Statistics

Electrical Engineering (EE) 2022

There are two identical dice with a single letter on each of the faces. The following six letters: Q, R, S, T, U, and V, one on each of the faces. Any of the six outcomes are equally likely.
The two dice are thrown once independently at random.
What is the probability that the outcomes on the dice were composed only of any combination of the following possible outcomes: Q, U and V?

A

\(\frac{1}{4}\)

B

\(\frac{3}{4}\)

C

\(\frac{1}{6}\)

D

\(\frac{5}{36}\)

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10

2023 · General Aptitude (GA) · Probability · Elementary Statistics

Electrical Engineering (EE) 2023

Given a fair six-faced dice where the faces are labelled ‘1’, ‘2’, ‘3’, ‘4’, ‘5’, and ‘6’, what is the probability of getting a ‘1’ on the first roll of the dice and a ‘4’ on the second roll?

A

\(\frac{1}{36}\)

B

\(\frac{1}{6}\)

C

\(\frac{5}{6}\)

D

\(\frac{1}{3}\)

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