This set of Aptitude Questions and Answers (MCQs) focuses on “Coins – Set 2”.

1. Three unbiased coins are tossed. What are the total number of outcomes possible?

a) 16

b) 10

c) 8

d) 4

View Answer

Explanation:

Possible outcomes = (HHH, HHT, HTH, THH, THT, HTT, TTH, TTT)

Thus, total number of outcomes are 8.

2. What is the correct expression for finding the total number of outcomes when n coins are tossed at a time?

a) 2^{n}

b) n^{2}

c) n

d) 2^{n}/4

View Answer

Explanation: Given,

Number of coins = n.

Total number of possible outcomes = 2

^{n}.

3. Three unbiased coins are tossed. What is the probability of getting only one H?

a) 1/4

b) 3/8

c) 5/8

d) 1/2

View Answer

Explanation: Given, coins = 3

Possible outcomes = (HHH, HHT, HTH, THH, THT, HTT, TTH, TTT)

Favorable outcomes = (THT, HTT, TTH)

Thus, probability = 3/8.

4. Three unbiased coins are tossed. What is the probability of getting at most one H?

a) 1/2

b) 1/4

c) 5/8

d) 3/8

View Answer

Explanation: Given, coins = 3

Possible outcomes = (HHH, HHT, HTH, THH, THT, HTT, TTH, TTT)

Favorable outcomes = (THT, HTT, TTH, TTT)

Thus, probability = 4/8 = 1/2.

5. Three unbiased coins are tossed. What is the probability of getting at most two tail?

a) 1/8

b) 5/8

c) 7/8

d) 3/8

View Answer

Explanation: Given, coins = 3

Possible outcomes = (HHH, HHT, HTH, THH, THT, HTT, TTH, TTT)

Favorable outcomes = (THT, HTT, TTH, HHH, HHT, HTH, THH)

Thus, probability = 7/8.

6. Three unbiased coins are tossed. What is the probability of getting three tail?

a) 7/8

b) 5/8

c) 3/8

d) 1/8

View Answer

Explanation: Given, coins = 3

Possible outcomes = (HHH, HHT, HTH, THH, THT, HTT, TTH, TTT)

Favorable outcomes = (TTT)

Thus, probability = 1/8.

7. Three unbiased coins are tossed. What is the probability of getting minimum two head?

a) 1/2

b) 3/4

c) 1/8

d) 7/8

View Answer

Explanation: Given, coins = 3

Possible outcomes = (HHH, HHT, HTH, THH, THT, HTT, TTH, TTT)

Favorable outcomes = (HHT, HTH, THH, HHH)

Thus, probability = 4/8 = 1/2.

8. Three unbiased coins are tossed. What is the probability of getting same event in all the three throws?

a) 1/2

b) 1/8

c) 1/4

d) 3/8

View Answer

Explanation: Given, coins = 3

Possible outcomes = (HHH, HHT, HTH, THH, THT, HTT, TTH, TTT)

Favorable outcomes = (HHH, TTT)

Thus, probability = 2/8 = 1/4.

9. Ten unbiased coins are tossed. What are the total number of outcomes possible?

a) 1004

b) 1024

c) 1086

d) 1056

View Answer

Explanation: Given,

n = 10

Total number of outcomes = 2

^{n}

= 2

^{10}

= 1024

10. Three unbiased coins are tossed. What is the probability of getting complement of having a tail?

a) 3/4

b) 1/2

c) 3/8

d) 1/8

View Answer

Explanation: Given, coins = 3

Possible outcomes = (HHH, HHT, HTH, THH, THT, HTT, TTH, TTT)

Favorable outcomes = (HHH)

Thus, probability = 1/8.

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