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Probability — Practice Quiz

CBSE · Class 11 · Applied Mathematics

Try a 4-question quiz on Probability for CBSE Class 11 Applied Mathematics: tap an answer to check it and see why. 45 questions in the full chapter test.

45 questions24 flashcards2 formulas & key relations5 concepts

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Quick Quiz: Probability

0/4

Tap an answer to check it instantly. No sign-up needed for these 4.

1

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?

2

A coin is tossed three times. What is the probability of getting exactly 2 heads?

3

If P(A) = 0.6 and P(B) = 0.4, and A and B are mutually exclusive events, what is P(A ∪ B)?

4

A die is rolled. What is the probability of getting an even number OR a number greater than 4?

45 Questions·
multiple choicemultiple correct

Sample Questions

1multiple choice

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.

2multiple correct

Which of the following are properties of probability? (Select all correct answers)

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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.

3multiple choice

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?

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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.

4multiple choice

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 on Probability (CBSE Class 11 Applied Mathematics)

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Frequently Asked Questions

What are the important topics in Probability for CBSE Class 11 Applied Mathematics?
Key topics in Probability include Random Experiments and Sample Space, Events and Types of Events, Conditional Probability, Theorem of Total Probability. Study these first, then practise questions on each for Class 11 exams.
How many practice questions are there for Probability?
There are 45 questions on Probability. Try the 4-question sample quiz on this page first; each answer shows an explanation when you tap it.

Sources & Official References

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

More resources for Probability

All CBSE Class 11 Applied Mathematics Practice Quiz

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