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.

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 10 of 10

Explore more Topics under Discrete Mathematics

01

Logics and Proofs

02

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04

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06

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07

Counting Theory

08

Relations

09

Graphs and Graphs Properties

10

Tree Properties

11

Boolean Algebra and Modeling Computations

12

Group Theory

Q91.

Given: log₄ z = B log₂/₃z, for all z > 0. Find the value of constant B.

2/(3!*ln(2))

1/ln(7)

(4*ln(9))

1/(2*ln(3))

Discuss

Answer: (d).1/(2*ln(3))

Q92.

Evaluate: 16ˣ – 4ˣ – 9 = 0.

ln [( 5 + \(\sqrt{21}\)) / 2] / ln 8

ln [( 2 + \(\sqrt{33}\)) / 2] / ln 5

ln [( 1 + \(\sqrt{37}\)) / 2] / ln 4

ln [( 1 – \(\sqrt{37}\)) / 2] / ln 3

Discuss

Answer: (c).ln [( 1 + \(\sqrt{37}\)) / 2] / ln 4

Q93.

Transform 54ʸ = n+1 into equivalent a logarithmic expression.

log₁₂ (n+1)

log₄₁ (n²)

log₆₃ (n)

log₅₄ (n+1)

Discuss

Answer: (d).log₅₄ (n+1)

Q94.

If logₐ\((\frac{1}{8}) = -\frac{3}{4}\), than what is x?

287

469

512

623

Discuss

Answer: (c).512

Q95.

The explicit formula for the geometric sequence 3, 15, 75, 375,… is _______

2*6! * 3ⁿ⁻¹

3 * 5ⁿ⁻¹

3! * 8ⁿ⁻¹

7 * 4ⁿ⁻¹

Discuss

Answer: (b).3 * 5ⁿ⁻¹

Q96.

The third term of a geometric progression with common ratio equal to half the initial term is 81. Determine the 12th term.

3¹²

4¹⁵

6⁸

5⁹

Discuss

Answer: (a).3¹²

Q97.

Which of the following series is called the “formal power series”?

b₀+b₁x+b₂x²+…+bₙxⁿ

b₁x+b₂x²+…+bₙxⁿ

1/2b₀+1/3b₁x+1/4b₂x²+…+1/nbₙxⁿ

n²(b₀+b₁x+b₂x²+…+bₙxⁿ)

Discuss

Answer: (a).b₀+b₁x+b₂x²+…+bₙxⁿ

Q98.

Determine the interval and radius of convergence for the power series: ∞∑ₙ₌₁7ⁿ/n(3x−1)ⁿ⁻¹.

(2x+1)/6

7|3x−1|

5|x+1|

3!*|4x−9|

Discuss

Answer: (b).7|3x−1|

Q99.

What is the radius of convergence and interval of convergence for the power series ∞∑ₙ₌₀m!(2x-1)ᵐ?

3, 12

1, 0.87

2, 5.4

0, 1/2

Discuss

Answer: (d).0, 1/2

Q100.

Determine the radius of convergence and interval of convergence for the power series: ∞∑ₙ₌₀ (x−7)ⁿ⁺¹/nⁿ.

0, −1<x<1

∞, −∞<x<∞

1, −2<x<2

2, −1<x<1

Discuss

Answer: (b).∞, −∞<x<∞

Page 10 of 10

Welcome to the Discrete Probability MCQs Page

Discrete Probability MCQs | Page 10 of 10

Explore more Topics under Discrete Mathematics

Logics and Proofs

Sets and Functions

Sequences,Sums and Matrices

Algorithms

Number Theory and Cryptography

Induction and Recursion

Counting Theory

Relations

Graphs and Graphs Properties

Tree Properties

Boolean Algebra and Modeling Computations

Group Theory

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