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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 9 of 10

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Q81.
There are 9 letters having different colors (red, orange, yellow, green, blue, indigo, violet) and 4 boxes each of different shapes (tetrahedron, cube, polyhedron, dodecahedron). How many ways are there to place these 9 letters into the 4 boxes such that each box contains at least 1 letter?

a.

260100

b.

878760

c.

437102

d.

256850

Discuss
Answer: (a).260100
Q82.
A card is drawn randomly from a standard deck of cards. Determine the probability that the card drawn is a queen or a heart.

a.

\(\frac{1}{4}\)

b.

\(\frac{13}{56}\)

c.

\(\frac{4}{13}\)

d.

\(\frac{5}{52}\)

Discuss
Answer: (c).\(\frac{4}{13}\)
Q83.
An integer from 300 through 780, inclusive is to be chosen at random. Find the probability that the number is chosen will have 1 as at least one digit.

a.

\(\frac{171}{900}\)

b.

\(\frac{43}{860}\)

c.

\(\frac{231}{546}\)

d.

\(\frac{31}{701}\)

Discuss
Answer: (a).\(\frac{171}{900}\)
Q84.
From 1, 2, 3, โ€ฆ, 320 one number is selected at random. Find the probability that it is either a multiple of 7 or a multiple of 3.

a.

72%

b.

42.5%

c.

12.8%

d.

63.8%

Discuss
Answer: (b).42.5%
Q85.
Computation of the discrete logarithm is the basis of the cryptographic system _______

a.

Symmetric cryptography

b.

Asymmetric cryptography

c.

Diffie-Hellman key exchange

d.

Secret key cryptography

Discuss
Answer: (c).Diffie-Hellman key exchange
Q86.
Solve the logarithmic function of ln(\(\frac{1+5x}{1+3x}\)).

a.

2x โ€“ 8x² + \(\frac{152x^3}{3}\) โ€“ โ€ฆ

b.

x² + \(\frac{7x^2}{2} โ€“ \frac{12x^3}{5}\) + โ€ฆ

c.

x โ€“ \(\frac{15x^2}{2} + \frac{163x^3}{4}\) โ€“ โ€ฆ

d.

1 โ€“ \(\frac{x^2}{2} + \frac{x^4}{4}\) โ€“ โ€ฆ

Discuss
Answer: (a).2x โ€“ 8x² + \(\frac{152x^3}{3}\) โ€“ โ€ฆ
Q87.
Determine the logarithmic function of ln(1+5x)โปโต.

a.

5x + \(\frac{25x^2}{2} + \frac{125x^3}{3} + \frac{625x^4}{4}\) โ€ฆ

b.

x โ€“ \(\frac{25x^2}{2} + \frac{625x^3}{3} โ€“ \frac{3125x^4}{4}\) โ€ฆ

c.

\(\frac{125x^2}{3} โ€“ 625x^3 + \frac{3125x^4}{5}\) โ€ฆ

d.

-25x + \(\frac{125x^2}{2} โ€“ \frac{625x^3}{3} + \frac{3125x^4}{4}\) โ€ฆ

Discuss
Answer: (d).-25x + \(\frac{125x^2}{2} โ€“ \frac{625x^3}{3} + \frac{3125x^4}{4}\) โ€ฆ
Q88.
Find the value of x: 3 x² aหกแต’แตแตƒหฃ = 348?

a.

7.1

b.

4.5

c.

6.2

d.

4.8

Discuss
Answer: (d).4.8
Q89.
Solve for x: logโ‚‚(x²-3x)=logโ‚‚(5x-15).

a.

2, 5

b.

7

c.

23

d.

3, 5

Discuss
Answer: (d).3, 5
Q90.
Solve for x the equation 2หฃโบ³ = 5หฃโบ².

a.

ln (24/8)

b.

ln (25/8) / ln (2/5)

c.

ln (32/5) / ln (2/3)

d.

ln (3/25)

Discuss
Answer: (b).ln (25/8) / ln (2/5)
Page 9 of 10

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