Solved Probability and Probability Distributions

Probability and Probability Distributions MCQs for Competitive Exams

Practice with answers, explanations, and exam-focused revision notes.

139 MCQs Page 10

Topic Notes: Probability and Probability Distributions

These notes summarize the key preparation context before you attempt the MCQs. Review the topic focus, then practice the questions below with answers and explanations.

Quick Overview

Probability and Probability Distributions MCQs in Commerce are useful for candidates who need targeted practice for CSS, PMS, FPSC, PPSC, NTS, entry tests, and other competitive exams in Pakistan. This topic page is designed for quick revision, repeated practice, and exam-focused preparation.

Attempt the questions page by page, check the correct answers, read the explanations where available, and compare your weak areas with past papers and mock test performance. Consistent MCQ practice improves speed, confidence, and retention for objective exam sections.

Want adaptive tracking for this topic?

Session Progress 0 / 0 Solved

Reveal answers to start tracking your session progress!

If event A implies event B, but event B does not necessarily imply event A, what is the relationship between their probabilities?

P(A) ≥ P(B)

P(A) < P(B)

P(A) = P(B)

P(B) ≥ P(A)

Report

What is the numerical probability assigned to an impossible event?

Insufficient data

Not defined

Report

Which of the following statements does not accurately describe the characteristics of a normal distribution?

Mean, Median and Mode of the distribution are equal

Bell-shaped and symmetric

The two tails of the distribution in both the directions touches the horizontal axis

The total area under the curve for the normal probability distribution is one

Report

What are the standard parameters for the mean (μ) and standard deviation (σ) in a standard normal probability distribution?

μ = 25, σ = 5

μ = 0, σ = 1

μ = 16, σ = 4

μ = 100, σ = 10

Report

Describe the modality of the normal distribution curve relative to the horizontal axis.

None of these

multimodal

bimodal

unimodal

Report

How does the Binomial Distribution behave as the sample size 'n' becomes significantly large?

stays as it is

loses its discreteness

tends to Poisson Distribution

gives oscillatory values

Report

Given that events A and B are dependent, which formula correctly represents the conditional probability of A given B?

$$P\left( {A/B} \right) = \frac{{P\left( A \right) \cdot P\left( {B/A} \right)}}{{P\left( B \right)}}$$

$$P\left( {A/B} \right) = P\left( B \right) \cdot P\left( {A/B} \right)$$

$$P\left( {A/B} \right) = \frac{{P\left( A \right) \cdot P\left( {B/A} \right)}}{{P\left( A \right)}}$$

$$P\left( {A/B} \right) = P\left( A \right) \cdot P\left( {B/A} \right)$$

Report

In a Binomial Distribution, if the probability of success (p) equals the probability of failure (q), what is the formula for P(X = x)?

$${}^n{C_n}{p^{\left( {n - x} \right)}}$$

$${}^n{C_x}{\left( {0.5} \right)^n}$$

$${}^n{C_x}{p^{\left( {n - x} \right)}}$$

$${}^n{C_n}{\left( {0.5} \right)^n}$$

Report

If E(X) represents the mathematical expectation of a random variable X and C is a constant, what is the value of E(CX)?

E(c) + E(x)

E(c) × E(x)

CE(x)

None of these

Report

100

In a group of 100 students, 30 are male and 55 are studying for the Certificate level. If 6 male students are not studying for the Certificate level, what is the probability that a randomly selected female student is not studying for the Certificate level?

0.45

0.70

0.20

0.56

Report

Probability and Probability Distributions MCQs for Competitive Exams

Probability and Probability Distributions MCQs for Competitive Exams

Topic Notes: Probability and Probability Distributions

Quick Overview

Browse categories

Mock Test

Latest Menu

Popular Categories