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

1

2012 · General Aptitude (GA) · Probability · Elementary Statistics

Computer Science & Information Technology (CS) 2012

Q.21 Consider a random variable X that takes values +1 and −1 with probability 0.5 each. The values of the cumulative distribution function F(x) at x = −1 and +1 are

A

0 and 0.5

B

0 and 1

C

0.5 and 1

D

0.25 and 0.75

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2

2012 · General Aptitude (GA) · Probability · Elementary Statistics

Computer Science & Information Technology (CS) 2012

Suppose a fair six-sided die is rolled once. If the value on the die is 1, 2, or 3, the die is rolled a second time. What is the probability that the sum total of values that turn up is at least 6?

A

10/21

B

5/12

C

2/3

D

1/6

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3

2012 · General Aptitude (GA) · Probability · Elementary Statistics

Computer Science & Information Technology (CS) 2012

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 chosen shock absorber, which is found to be reliable, is made by Y is

A

0.288

B

0.334

C

0.667

D

0.720

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4

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

Computer Science & Information Technology (CS) 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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5

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

Computer Science & Information Technology (CS) 2015 [Session 1]

Question Number : 9 Question Type : MCQ
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
(A) Only relation I is true.
(B) Only relation II is true.
(C) Relations II and III are true.
(D) Relations I and III are true.

A

Only relation I is true.

B

Only relation II is true.

C

Relations II and III are true.

D

Relations I and III are true.

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6

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

Computer Science & Information Technology (CS) 2015 [Session 1]

Consider a LAN with four nodes $S_1, S_2, S_3$ and $S_4$. Time is divided into fixed-size slots, and a node can begin its transmission only at the beginning of a slot. A collision is said to have occurred if more than one node transmit in the same slot. The probabilities of generation of a frame in a time slot by $S_1, S_2, S_3$ and $S_4$ are 0.1, 0.2, 0.3 and 0.4, respectively. The probability of sending a frame in the first slot without any collision by any of these four stations is ______________.

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7

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

Computer Science & Information Technology (CS) 2015 [Session 2]

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

A

Only relation I is true.

B

Only relation II is true.

C

Relations II and III are true.

D

Relations I and III are true.

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8

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

Computer Science & Information Technology (CS) 2015 [Session 2]

Let \(X\) and \(Y\) denote the sets containing 2 and 20 distinct objects respectively and \(F\) denote the set of all possible functions defined from \(X\) to \(Y\). Let \(f\) be randomly chosen from \(F\). The probability of \(f\) being one-to-one is _____.

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9

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

Computer Science & Information Technology (CS) 2015 [Session 3]

Consider a software program that is artificially seeded with 100 faults. While testing this program, 159 faults are detected, out of which 75 faults are from those artificially seeded faults. Assuming that both real and seeded faults are of same nature and have same distribution, the estimated number of undetected real faults is __________.

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10

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

Computer Science & Information Technology (CS) 2015 [Session 3]

Suppose X_i for i = 1,2,3 are independent and identically distributed random variables whose probability mass functions are Pr[X_i = 0] = Pr[X_i = 1] = 1/2 for i = 1,2,3. Define another random variable Y = X_1 X_2 ⊕ X_3, where ⊕ denotes XOR. Then Pr[Y = 0 | X_3 = 0] = __________.

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11

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

Computer Science & Information Technology (CS) 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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12

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

Computer Science & Information Technology (CS) 2018 [Session 2]

A six sided unbiased die with four green faces and two red faces is rolled seven times. Which of the following combinations is the most likely outcome of the experiment?

A

Three green faces and four red faces.

B

Four green faces and three red faces.

C

Five green faces and two red faces.

D

Six green faces and one red face.

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13

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

Computer Science & Information Technology (CS) 2021 [Session 1]

There are five bags each containing identical sets of ten distinct chocolates. One chocolate is picked from each bag.
The probability that at least two chocolates are identical is __________

A

0.3024

B

0.4235

C

0.6976

D

0.8125

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14

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

Computer Science & Information Technology (CS) 2022 [Session 2]

A box contains five balls of same size and shape. Three of them are green coloured balls and two of them are orange coloured balls. Balls are drawn from the box one at a time. If a green ball is drawn, it is not replaced. If an orange ball is drawn, it is replaced with another orange ball.

First ball is drawn. What is the probability of getting an orange ball in the next draw?

A

\(\frac{1}{2}\)

B

\(\frac{8}{25}\)

C

\(\frac{19}{50}\)

D

\(\frac{23}{50}\)

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15

2025 · General Aptitude (GA) · Probability · Elementary Statistics

Computer Science & Information Technology (CS) 2025 [Session 1]

A fair six-faced dice, with the faces labelled ‘1’, ‘2’, ‘3’, ‘4’, ‘5’, and ‘6’, is rolled thrice. What is the probability of rolling ‘6’ exactly once?

A

\(\frac{75}{216}\)

B

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

C

\(\frac{1}{18}\)

D

\(\frac{25}{216}\)

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16

2026 · General Aptitude (GA) · Probability · Elementary Statistics

Computer Science and Information Technology (CS) 2026

An unbiased six-faced dice whose faces are marked with numbers 1, 2, 3, 4, 5, and 6 is rolled twice in succession and the number on the top face is recorded each time. The probability that the number appearing in the second roll is an integer multiple of the number appearing in the first roll is ______

A

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

B

\(\frac{5}{18}\)

C

\(\frac{7}{18}\)

D

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

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17

2026 · General Aptitude (GA) · Probability · Elementary Statistics

Computer Science and Information Technology (CS) 2026

A day can only be cloudy or sunny. The probability of a day being cloudy is 0.5, independent of the condition on other days. What is the probability that in any given four days, there will be three cloudy days and one sunny day?

A

1/4

B

3/4

C

2/3

D

3/8

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18

2026 · General Aptitude (GA) · Probability · Elementary Statistics

Computer Science and Information Technology (CS) 2026

An unbiased six-faced dice whose faces are marked with numbers 1, 2, 3, 4, 5, and 6 is rolled twice in succession and the number on the top face is recorded each time. The probability that the sum of the two recorded numbers is a prime number is _____

A

3/36

B

13/36

C

15/36

D

19/36

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