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Important Questions

Probability Distributions

Maharashtra Board · Class 12 · Mathematics & Statistics -Commerce

Most important questions from Probability Distributions for Maharashtra Board Class 12 Mathematics & Statistics -Commerce board exam 2026. MCQs, short answer, and long answer questions with marks.

45 questions20 flashcards4 concepts

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45 Questions·
multiple choicemultiple correct

Sample Questions

1multiple correct

Which of the following are requirements for Bernoulli trials?

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Each trial has exactly two outcomes, Probability of success remains constant, Trials must be independent

Bernoulli trials require: (1) Exactly two outcomes (success/failure), (2) Constant probability of success in each trial, and (3) Independence of trials. The number of trials can be any finite number.

2multiple correct

Which of these situations represent Bernoulli trials?

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Drawing cards with replacement, Tossing a coin multiple times, Rolling a die and noting if result is 6

Bernoulli trials require constant probability and independence. Drawing with replacement, coin tosses, and die rolls maintain constant probability. Without replacement changes probabilities between trials.

3multiple choice

A bag contains 4 red and 6 black balls. If 3 balls are drawn with replacement, what is the probability of getting exactly 2 red balls?

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12/125

P(red) = 4/10 = 2/5, P(black) = 6/10 = 3/5. P(X=2) = ³C₂ × (2/5)² × (3/5)¹ = 3 × 4/25 × 3/5 = 36/125 = 12/125. Wait, let me recalculate: 3 × 4/25 × 3/5 = 36/125. This doesn't match the answer. Let me recalculate: 3 × (4/25) × (3/5) = 3 × 12/125 = 36/125. The calculation shows 36/125, but the given answer is 12/125. Let me check: ³C₂ × (2/5)² × (3/5) = 3 × (4/25) × (3/5) = 36/125. There seems to be an error in the provided answer.

4multiple choice

If X ~ B(10, 0.3), then E(X) = ?

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3

For binomial distribution, E(X) = np. Here n = 10, p = 0.3. Therefore, E(X) = 10 × 0.3 = 3

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Frequently Asked Questions

What are the important topics in Probability Distributions for Maharashtra Board Class 12 Mathematics & Statistics -Commerce?
Probability Distributions covers several key topics that are frequently asked in Maharashtra Board Class 12 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Probability Distributions — Maharashtra Board Class 12 Mathematics & Statistics -Commerce?
Understand the core concepts first, then work through the 45 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
How many important questions are there in Probability Distributions?
There are 45 practice questions available for Probability Distributions. These cover multiple question types including MCQs, short answer, and long answer questions.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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