Probability Distributions — Important Questions
Maharashtra Board · Class 12 · Mathematics & Statistics -Commerce
45 important questions from Probability Distributions for Maharashtra Board Class 12 Mathematics & Statistics -Commerce, with answers.
Interactive on Super Tutor
Studying Probability Distributions? Get the full interactive chapter.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for important questions and more.
Free trial, no card needed.
Important Questions from Probability Distributions
Which of the following are requirements for Bernoulli trials?
Show answer
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.
Which of these situations represent Bernoulli trials?
Show answer
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.
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?
Show answer
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.
If X ~ B(10, 0.3), then E(X) = ?
Show answer
3
For binomial distribution, E(X) = np. Here n = 10, p = 0.3. Therefore, E(X) = 10 × 0.3 = 3
+41 more questions on Probability Distributions (Maharashtra Board Class 12 Mathematics & Statistics -Commerce)
Practise AllFrequently Asked Questions
What are the important topics in Probability Distributions for Maharashtra Board Class 12 Mathematics & Statistics -Commerce?
How many important questions are there in Probability Distributions?
Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More resources for Probability Distributions
For serious students
Get the full Probability Distributions chapter — start free.
Quizzes, flashcards, an AI doubt solver and a study plan for Maharashtra Board Class 12 Mathematics & Statistics -Commerce. Free to start, no card needed.