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Welcome to the Discrete Probability MCQs Page

Dive deep into the fascinating world of Discrete Probability with our comprehensive set of Multiple-Choice Questions (MCQs). This page is dedicated to exploring the fundamental concepts and intricacies of Discrete Probability, a crucial aspect of Discrete Mathematics. In this section, you will encounter a diverse range of MCQs that cover various aspects of Discrete Probability, from the basic principles to advanced topics. Each question is thoughtfully crafted to challenge your knowledge and deepen your understanding of this critical subcategory within Discrete Mathematics.

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Check out the MCQs below to embark on an enriching journey through Discrete Probability. Test your knowledge, expand your horizons, and solidify your grasp on this vital area of Discrete Mathematics.

Note: Each MCQ comes with multiple answer choices. Select the most appropriate option and test your understanding of Discrete Probability. You can click on an option to test your knowledge before viewing the solution for a MCQ. Happy learning!

Discrete Probability MCQs | Page 2 of 10

Explore more Topics under Discrete Mathematics

Q11.
In a secondary examination, 75% of the students have passed in History and 65% in Mathematics, while 50% passed in both History and Mathematics. If 35 candidates failed in both the subjects, what is the total number of candidates sit for that exam?

a.

658

b.

398

c.

764

d.

350

Discuss
Answer: (d).350
Q12.
In a Press Conference, there are 450 foreign journalists. 275 people can speak German, 250 people can speak English, 200 people can speak Chinese and 260 people can speak Japanese. Find the maximum number of foreigners who cannot speak at least one language.

a.

401

b.

129

c.

324

d.

415

Discuss
Answer: (d).415
Q13.
There is a class of 40 students out of which 16 are girls. There are 27 students who are right-handed. How many minimum numbers of girls who are left-handed in this class?

a.

17

b.

56

c.

23

d.

3

Discuss
Answer: (d).3
Q14.
How many positive integers less than or equal to 100 are divisible by 2, 4 or 5?

a.

12.3

b.

87.2

c.

45.3

d.

78.2

Discuss
Answer: (d).78.2
Q15.
How many ways are there to select exactly four clocks from a store with 10 wall-clocks and 16 stand-clocks?

a.

325

b.

468

c.

398

d.

762

Discuss
Answer: (a).325
Q16.
If a 12-sided fair die is rolled twice, find the probability that both rolls have a result of 8.

a.

\(\frac{2}{19}\)

b.

\(\frac{3}{47}\)

c.

\(\frac{1}{64}\)

d.

\(\frac{2}{9}\)

Discuss
Answer: (c).\(\frac{1}{64}\)
Q17.
How many positive divisors does 4000 = 2⁵ 5³ have?

a.

49

b.

73

c.

65

d.

15

Discuss
Answer: (d).15
Q18.
Mina has 6 different skirts, 3 different scarfs and 7 different tops to wear. She has exactly one orange scarf, exactly one blue skirt, and exactly one black top. If Mina randomly selects each item of clothing, find the probability that she will wear those clothings for the outfit.

a.

\(\frac{1}{321}\)

b.

\(\frac{1}{126}\)

c.

\(\frac{4}{411}\)

d.

\(\frac{2}{73}\)

Discuss
Answer: (b).\(\frac{1}{126}\)
Q19.
There are 6 possible routes (1, 2, 3, 4, 5, 6) from Chennai to Kochi and 4 routes (7, 8, 9, 10) from the Kochi to the Trivendrum. If each path is chosen at random, what is the probability that a person can travel from the Chennai to the via the 4th and 9th road?

a.

\(\frac{3}{67}\)

b.

\(\frac{5}{9}\)

c.

\(\frac{2}{31}\)

d.

\(\frac{1}{24}\)

Discuss
Answer: (d).\(\frac{1}{24}\)
Q20.
If two 14-sided dice one is red and one is blue are rolled, find the probability that a 3 on the red die, a 5 on the blue die are rolled.

a.

\(\frac{4}{167}\)

b.

\(\frac{3}{197}\)

c.

\(\frac{5}{216}\)

d.

\(\frac{1}{196}\)

Discuss
Answer: (b).\(\frac{3}{197}\)
Page 2 of 10

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