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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 8 of 10

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Q71.
What will be the sequence generated by the generating function 4x/(1-x)²?

a.

12, 16, 20, 24,…

b.

1, 3, 5, 7, 9,…

c.

0, 4, 8, 12, 16, 20,…

d.

0, 1, 1, 3, 5, 8, 13,…

Discuss
Answer: (c).0, 4, 8, 12, 16, 20,…
Q72.
What is the generating function for the sequence with closed formula aₙ=4(7ⁿ)+6(−2)ⁿ?

a.

(4/1−7x)+6!

b.

(3/1−8x)

c.

(4/1−7x)+(6/1+2x)

d.

(6/1-2x)+8

Discuss
Answer: (c).(4/1−7x)+(6/1+2x)
Q73.
Suppose G is the generating function for the sequence 4, 7, 10, 13, 16, 19,…, the find a generating function (in terms of G) for the sequence of differences between terms.

a.

(1−x)G−4/x

b.

(1−x)G−4/x³

c.

(1−x)G+6/x

d.

(1−x)G−x²

Discuss
Answer: (a).(1−x)G−4/x
Q74.
Find the sequence generated by 1/1−x²−x⁴. (Assume that 1, 1, 2, 3, 5, 8,… has generating function 1/1−x−x².)

a.

0, 0, 1, 1, 2, 3, 5, 8,…

b.

0, 1, 2, 3, 5, 8,…

c.

1, 1, 2, 2, 4, 6, 8,…

d.

1, 4, 3, 5, 7,…

Discuss
Answer: (a).0, 0, 1, 1, 2, 3, 5, 8,…
Q75.
There are 70 patients admitted in a hospital in which 29 are diagnosed with typhoid, 32 with malaria, and 14 with both typhoid and malaria. Find the number of patients diagnosed with typhoid or malaria or both.

a.

39

b.

17

c.

47

d.

53

Discuss
Answer: (c).47
Q76.
At a software company, skilled workers have been hired for a project. Out of 75 candidates, 48 of them were software engineer; 35 of them were hardware engineer; 42 of them were network engineer; 18 of them had skills in all three jobs and all of them had skills in at least one of these jobs. How many candidates were hired who were skilled in exactly 2 jobs?

a.

69

b.

14

c.

32

d.

8

Discuss
Answer: (b).14
Q77.
The numbers between 1 and 520, including both, are divisible by 2 or 6 is _______

a.

349

b.

54

c.

213

d.

303

Discuss
Answer: (d).303
Q78.
In a renowned software development company of 240 computer programmers 102 employees are proficient in Java, 86 in C#, 126 in Python, 41 in C# and Java, 37 in Java and Python, 23 in C# and Python, and just 10 programmers are proficient in all three languages. How many computer programmers are there those are not proficient in any of these three languages?

a.

138

b.

17

c.

65

d.

49

Discuss
Answer: (b).17
Q79.
In class, students want to join sports. 15 people will join football, 24 people will join basketball, and 7 people will join both. How many people are there in the class?

a.

19

b.

82

c.

64

d.

30

Discuss
Answer: (d).30
Q80.
The sum of all integers from 1 to 520 that are multiples of 4 or 5?

a.

187

b.

208

c.

421

d.

52

Discuss
Answer: (b).208
Page 8 of 10

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