Chapter Exam

Chapter 14: Probability — Online MCQ Test

Q: If a coin is tossed once, the sample space is:

Answer: C. {H, T} — A single coin toss can result in either Head or Tail, so the sample space is {H, T}.

Q: A fair die is thrown once. What is the probability of getting an even number?

Answer: C. 1/2 — The even numbers on a die are 2, 4 and 6. Thus, probability = 3/6 = 1/2.

Q: A fair die is thrown once. What is the probability of getting a number which is either even or prime?

Answer: C. 5/6 — Even numbers are 2, 4, 6 and prime numbers are 2, 3, 5. The favourable outcomes are 2, 3, 4, 5, 6, so probability = 5/6.

Q: Two dice are thrown together. What is the probability of getting a doublet or a sum of 8?

Answer: B. 5/18 — There are 6 doublets and 5 outcomes with sum 8: (2,6), (3,5), (4,4), (5,3), (6,2). Since (4,4) is common, favourable outcomes = 6 + 5 - 1 = 10, so probability = 10/36 = 5/18.

MATHS · CLASS 10th · Karnataka State Board

Practice Chapter 14: Probability with a free chapter-wise online MCQ test for Karnataka State Board CLASS 10th MATHS. This chapter covers: Random experiment Sample space Event Outcomes Classical probability Equally likely events Complementary events Theoretical 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 Karnataka State Board CLASS 10th MATHS — Chapter 14: Probability, with answers and explanations. These are sample questions; the exam has its own separate question set.

A random experiment is an experiment in which:

A. the result is known before performing it
B. there is only one possible outcome
C. the exact outcome cannot be predicted in advance ✓
D. the outcome is always favourable

Answer: C. the exact outcome cannot be predicted in advance
In a random experiment, we know the possible outcomes but cannot predict the exact outcome before performing it.

If a coin is tossed once, the sample space is:

A. {H}
B. {T}
C. {H, T} ✓
D. {HH, TT}

Answer: C. {H, T}
A single coin toss can result in either Head or Tail, so the sample space is {H, T}.

A fair die is thrown once. What is the probability of getting an even number?

A. 1/6
B. 1/3
C. 1/2 ✓
D. 2/3

Answer: C. 1/2
The even numbers on a die are 2, 4 and 6. Thus, probability = 3/6 = 1/2.

A fair die is thrown once. What is the probability of getting a number which is either even or prime?

A. 1/3
B. 1/2
C. 5/6 ✓
D. 2/3

Answer: C. 5/6
Even numbers are 2, 4, 6 and prime numbers are 2, 3, 5. The favourable outcomes are 2, 3, 4, 5, 6, so probability = 5/6.

Two dice are thrown together. What is the probability of getting a doublet or a sum of 8?

A. 1/4
B. 5/18 ✓
C. 11/36
D. 1/3

Answer: B. 5/18
There are 6 doublets and 5 outcomes with sum 8: (2,6), (3,5), (4,4), (5,3), (6,2). Since (4,4) is common, favourable outcomes = 6 + 5 - 1 = 10, so probability = 10/36 = 5/18.