Probability
CBSE · Class 11 · Applied Mathematics
Practice quiz for Probability — CBSE Class 11 Applied Mathematics. MCQs and questions with answers to test your preparation.
Interactive on Super Tutor
Studying Probability? Get the full interactive chapter.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for practice quiz and more.
1,000+ Class 11 students started this chapter today
Quick Quiz: Probability
0/4Tap an answer to check it instantly. No sign-up needed for these 4.
A bag contains 5 red balls and 3 blue balls. If one ball is drawn at random, what is the probability of drawing a red ball?
A coin is tossed three times. What is the probability of getting exactly 2 heads?
If P(A) = 0.6 and P(B) = 0.4, and A and B are mutually exclusive events, what is P(A ∪ B)?
A die is rolled. What is the probability of getting an even number OR a number greater than 4?
Sample Questions
In a group of 50 students, 30 like Math and 25 like Science. If 15 students like both subjects, what is the probability that a randomly selected student likes Math given that they like Science?
Show answer
3/5
Using conditional probability: P(Math|Science) = P(Math ∩ Science)/P(Science) = (15/50)/(25/50) = 15/25 = 3/5. Step-by-step: students who like both = 15, students who like Science = 25.
Which of the following are properties of probability? (Select all correct answers)
Show answer
0 ≤ P(A) ≤ 1 for any event A, P(S) = 1 where S is sample space, P(A) + P(A') = 1, P(∅) = 0
Basic axioms of probability: (1) Probability is between 0 and 1, (2) Sample space has probability 1, (3) Event and its complement sum to 1, (4) Empty set has probability 0. The union formula P(A ∪ B) = P(A) + P(B) only works for mutually exclusive events.
A box contains 4 red, 3 green, and 2 blue marbles. If two marbles are drawn without replacement, what is the probability that both are red?
Show answer
4/21
Total marbles = 9. P(1st red) = 4/9. After drawing 1 red, 8 marbles remain with 3 red. P(2nd red|1st red) = 3/8. P(both red) = (4/9) × (3/8) = 12/72 = 4/21.
If A and B are independent events with P(A) = 0.3 and P(B) = 0.5, what is P(A ∩ B)?
Show answer
0.15
For independent events, P(A ∩ B) = P(A) × P(B) = 0.3 × 0.5 = 0.15. Independence means occurrence of one event doesn't affect the other's probability.
+41 more questions available
Practice AllFrequently Asked Questions
What are the important topics in Probability for CBSE Class 11 Applied Mathematics?
How to score full marks in Probability — CBSE Class 11 Applied Mathematics?
Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More resources for Probability
Important Questions
Practice with board exam-style questions
Revision Notes
Key points for last-minute revision
Formula Sheet
All formulas in one place
Chapter Summary
Understand the chapter at a glance
Concept Maps
See how topics connect visually
Study Plan
Step-by-step plan to ace this chapter
Flashcards
Quick-fire cards for active recall
Syllabus
What topics to cover
NCERT Solutions
Every textbook question solved step by step
For serious students
Get the full Probability chapter — for free.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for CBSE Class 11 Applied Mathematics.