Probability Questions and Answers – Coins

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

1. Which of the following is a classic example of binomial distribution of probability?
a) Pack of cards
b) Throw a dice
c) Toss a coin
d) Number of students in class
View Answer

Answer: c
Explanation: Toss a coin is a classic example of binomial distribution of probability as there are only two outcomes in this case namely head or tail. Also, both the outcomes have an equal chance of coming which remains constant for any number of trials. This constant probability of getting a head or a tail is 1 / 2.

2. When you toss a coin twice, what is the probability of getting a head in both the attempts?
a) 1 / 4
b) 1
c) 0
d) 1 / 2
View Answer

Answer: a
Explanation:
Possible outcomes = HH, TT, HT, TH
Favorable outcomes = HH
Thus, Probability = 1 / 4.

3. When you toss a coin what is the probability of not getting a head?
a) 1
b) 1 / 2
c) 2
d) 0
View Answer

Answer: b
Explanation:
P (Not Head) = 1 – P(H)
= 1 – 1 / 2
= 1 / 2
advertisement
advertisement

4. When you toss a coin twice what is the probability of getting a tail in both the attempts?
a) 1 / 2
b) 1
c) 0
d) 1 / 4
View Answer

Answer: d
Explanation:
Possible outcomes = HH, TT, HT, TH
Favorable outcomes = TT
Thus, Probability = 1 / 4.

5. Two unbiased coins are tossed. What are the total number of outcomes?
a) 1
b) 2
c) 4
d) 6
View Answer

Answer: c
Explanation:
Possible outcomes = (HH, HT, TH, TT)
Thus, total number of outcomes are 4.

6. Two coins are tossed simultaneously. What is the probability of getting only one head after taking all the possibilities into consideration?
a) 1
b) 1 / 2
c) 3 / 4
d) 0
View Answer

Answer: b
Explanation:
Possible outcomes = (HH, HT, TH, TT)
Favorable outcomes = HT, TH
Thus, probability = 1 / 2.

7. Two unbiased coins are tossed. What is the probability of getting no less than 1 head after taking all the possibilities into consideration?
a) 0
b) 1
c) \(\frac {1}{2}\)
d) 3 / 4
View Answer

Answer: d
Explanation:
Possible outcomes = (HH, HT, TH, TT)
Favorable outcomes = HH, HT, TH
Thus, probability = 3 / 4.
advertisement

8. Two unbiased coins are tossed. What is the probability of getting only one tail after taking all the possibilities into consideration?
a) \(\frac {1}{2}\)
b) 0
c) \(\frac {3}{4}\)
d) \(\frac {1}{4}\)
View Answer

Answer: a
Explanation:
Possible outcomes = (HH, HT, TH, TT)
Favorable outcomes = HT, TH
Thus, probability = \(\frac {1}{2}\).

9. Two unbiased coins are tossed. What is the probability of getting two tail?
a) \(\frac {3}{4}\)
b) \(\frac {1}{2}\)
c) \(\frac {1}{4}\)
d) 1
View Answer

Answer: c
Explanation:
Possible outcomes = (HH, HT, TH, TT)
Favorable outcomes = TT
Thus, probability = \(\frac {1}{4}\).
advertisement

10. Which of the following options is incorrect when one coin is tossed?
a) P(H) = \(\frac {1}{2}\)
b) P(T) = \(\frac {1}{2}\)
c) P(H) + P(T) = 1
d) P(H) * P(T) = 1
View Answer

Answer: d
Explanation: P(H) * P(T) = 1 is incorrect as,
P(H) * P(T) = \(\frac {1}{2}\) * \(\frac {1}{2}\)
= \(\frac {1}{4}\)

To practice all aptitude questions, please visit “1000+ Quantitative Aptitude Questions”, “1000+ Logical Reasoning Questions”, and “Data Interpretation Questions”.

If you find a mistake in question / option / answer, kindly take a screenshot and email to [email protected]

advertisement
advertisement
Subscribe to our Newsletters (Subject-wise). Participate in the Sanfoundry Certification contest to get free Certificate of Merit. Join our social networks below and stay updated with latest contests, videos, internships and jobs!

Youtube | Telegram | LinkedIn | Instagram | Facebook | Twitter | Pinterest
Manish Bhojasia - Founder & CTO at Sanfoundry
Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He lives in Bangalore, and focuses on development of Linux Kernel, SAN Technologies, Advanced C, Data Structures & Alogrithms. Stay connected with him at LinkedIn.

Subscribe to his free Masterclasses at Youtube & discussions at Telegram SanfoundryClasses.