Chapter Exam

Chapter-14 Probability — Online MCQ Test

Q: The sample space of rolling a die is:

Answer: C. {1, 2, 3, 4, 5, 6} — A die has 6 faces numbered 1 to 6, so the sample space contains all these 6 outcomes.

Q: When tossing two coins, how many elements are in the sample space?

Answer: C. 4 — The sample space is {HH, HT, TH, TT}, which contains 4 equally likely outcomes.

Q: If A and B are mutually exclusive and exhaustive events, which is true?

Answer: B. P(A) + P(B) = 1 — Mutually exclusive means A ∩ B = ∅; exhaustive means A ∪ B = S. Therefore, P(A) + P(B) = P(A ∪ B) = P(S) = 1.

Q: Consider the sample space of outcomes from spinning a spinner twice. If the first spin gives outcome 'a' with probability 0.3 and outcome 'b' with probability 0.7, and the second spin is independent with the same probabilities, what is P(both spins show 'a')?

Answer: B. 0.09 — Since spins are independent, P(a then a) = P(a) × P(a) = 0.3 × 0.3 = 0.09.

MATHS · Grade 11 · CBSE(NCERT)

Practice Chapter-14 Probability with a free chapter-wise online MCQ test for CBSE(NCERT) Grade 11 MATHS. This chapter covers: Random experiment - Sample space - Outcomes - Events - Impossible event - Sure event - Mutually exclusive events - Exhaustive events - Axiomatic approach to probability. AI-generated questions from basic to board-exam level, with instant results and explanations.

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Chapter-14 Probability — Important Questions & Answers (FAQ)

Frequently asked questions from CBSE(NCERT) Grade 11 MATHS — Chapter-14 Probability, with answers and explanations. These are sample questions; the exam has its own separate question set.

What is a random experiment?

A. An experiment whose outcome is certain before performing it
B. An experiment whose outcome cannot be predicted with certainty, though the set of all possible outcomes is known ✓
C. An experiment that always gives the same result
D. An experiment performed with a specific purpose to get a predetermined outcome

Answer: B. An experiment whose outcome cannot be predicted with certainty, though the set of all possible outcomes is known
A random experiment is characterized by uncertainty in its individual outcome, but all possible outcomes are known beforehand.

The sample space of rolling a die is:

A. {1, 2, 3, 4, 5}
B. {0, 1, 2, 3, 4, 5, 6}
C. {1, 2, 3, 4, 5, 6} ✓
D. {2, 4, 6}

Answer: C. {1, 2, 3, 4, 5, 6}
A die has 6 faces numbered 1 to 6, so the sample space contains all these 6 outcomes.

When tossing two coins, how many elements are in the sample space?

A. 2
B. 3
C. 4 ✓
D. 8

Answer: C. 4
The sample space is {HH, HT, TH, TT}, which contains 4 equally likely outcomes.

If A and B are mutually exclusive and exhaustive events, which is true?

A. P(A) + P(B) = 0
B. P(A) + P(B) = 1 ✓
C. P(A ∩ B) = 1
D. P(A ∪ B) = 0

Answer: B. P(A) + P(B) = 1
Mutually exclusive means A ∩ B = ∅; exhaustive means A ∪ B = S. Therefore, P(A) + P(B) = P(A ∪ B) = P(S) = 1.

Consider the sample space of outcomes from spinning a spinner twice. If the first spin gives outcome 'a' with probability 0.3 and outcome 'b' with probability 0.7, and the second spin is independent with the same probabilities, what is P(both spins show 'a')?