Probability Questions and Answers – Set 4

This set of Aptitude Questions and Answers (MCQs) focuses on “Probability – Set 4”.

1. A bag contains 3 white balls and 2 black balls. What will be the probability of drawing a red ball when drawn at random?
a) 2/5
b) 1/5
c) 0/5
d) 3/5
View Answer

Answer: c
Explanation: Since there is no red ball in the bag, the probability of drawing a red ball is 0.

2. The probability that tomorrow will be a sunny day is 0.68, then what is the probability that tomorrow will not be a sunny day?
a) 0.32
b) 0.64
c) 0.44
d) 0.56
View Answer

Answer: a
Explanation: Given,
P (Sunny day) = 0.68
P (Not sunny day) = 1 – P (Sunny day)
= 1 – 0.68
= 0.32

3. What are the total number of outcomes when three coins are tossed together?
a) 4
b) 8
c) 16
d) 12
View Answer

Answer: b
Explanation: Given,
n = 3
Total possible outcomes = 2n
= 23
= 8
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4. What is the sum of the probability of an event and non-event?
a) 1
b) 0
c) 1/2
d) 2
View Answer

Answer: a
Explanation: The sum of the probability of an event and non-event is always 1.

5. An alphabet is chosen at random from the word “MATHEMATICS”. What is the probability of it being a vowel?
a) 7/11
b) 6/11
c) 4/11
d) 5/11
View Answer

Answer: c
Explanation:
Total number of possible outcomes = 11
Favorable outcomes = 4
Probability = 4/11

6. What is the probability of getting a number that is divisible by 5 from 1 to 15?
a) 4/5
b) 3/5
c) 2/5
d) 1/5
View Answer

Answer: d
Explanation:
Total possible outcomes = 15
Favorable outcomes = 3
Probability = 3/15 = 1/5

7. The following probabilities are given with respect to an event. Which of the following is wrong?
a) 8/5
b) 3/5
c) 4/5
d) 1/5
View Answer

Answer: a
Explanation: Option a is wrong as probability of any event can never be greater than 1 or less than 0.
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8. What are the total number of outcomes when 5 dices are rolled together?
a) 6578
b) 5674
c) 7776
d) 7543
View Answer

Answer: c
Explanation: Given,
n = 5
Total number of possible outcomes = 6n
= 65 = 7776

9. A bag contains 10 black balls, 5 red balls and 5 white balls. What is the probability of getting either a red or a white ball?
a) \(\frac {1}{4}\)
b) \(\frac {1}{2}\)
c) \(\frac {3}{4}\)
d) 1
View Answer

Answer: b
Explanation:
Total number of possible outcomes = 20
Favorable outcomes = 10
Probability = 10/20 = \(\frac {1}{2}\)
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10. A dice is rolled. What is the probability that we get a number divisible by 3?
a) 1/3
b) 1/4
c) 2/3
d) 3/4
View Answer

Answer: a
Explanation:
Total possible outcomes = 6
Favorable outcomes = 3, 6 = 2
Probability = 2/6 = 1/3

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]

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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.

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