Probability Quiz - CBSE Class 10 Mathematics

Free practice quiz: Probability (CBSE Class 10 Mathematics). 15 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This CBSE Class 10 Mathematics practice quiz has 15 multiple-choice questions on Probability, and 15 of them come with an explanation. Try the 5 sample questions below (tap an option to check yourself), then play the full quiz online. No sign-up needed.

About this topic

Statistics condenses grouped data into one central value: mean, median or mode. Probability measures how likely an event is, as a number from 0 to 1. Both start from organised data or a sample space, and both ask: what is typical, and what is likely?

• Mean, median and mode are measures of central tendency for grouped data.
• Mean: three methods (direct, assumed mean, step-deviation) all give the same value.
• Median uses cumulative frequency; the median class is the one containing n/2.
• Mode uses the modal class, the class with the highest frequency.
• Empirical relation: 3 Median = Mode + 2 Mean.
• Probability of an event lies between 0 and 1; sum over all outcomes is 1.
• Theoretical probability assumes equally likely outcomes, like a fair coin, die or cards.

Sample questions

1. A fair coin is tossed once. What is the probability of getting a head?

   1. 0
   2. 1/4
   3. 1/2
   4. 1
   Show answer

   Answer: C. 1/2

   There are 2 equally likely outcomes: head and tail. Only 1 is favourable. So probability = 1/2.

2. A bag contains 5 red and 3 blue balls. One ball is drawn at random. What is the probability that it is red?

   1. 3/8
   2. 5/8
   3. 5/3
   4. 1/2
   Show answer

   Answer: B. 5/8

   Total balls = 5 + 3 = 8. Favourable red balls = 5. Probability = 5/8.

3. A bag contains 4 green and 6 yellow marbles. One marble is drawn at random. What is the probability that it is not green?

   1. 2/5
   2. 3/5
   3. 1/2
   4. 4/5
   Show answer

   Answer: B. 3/5

   Total marbles = 10. Not green means yellow = 6. Probability = 6/10 = 3/5.

4. A fair six-sided die is thrown once. What is the probability of getting a number less than 1?

   1. 0
   2. 1/6
   3. 1/2
   4. 1
   Show answer

   Answer: A. 0

   No number on a die is less than 1, so favourable outcomes = 0. Probability = 0.

5. One card is drawn at random from a well-shuffled deck of 52 cards. What is the probability that it is the 10 of spades?

   1. 1/4
   2. 1/13
   3. 1/52
   4. 3/52
   Show answer

   Answer: C. 1/52

   There is exactly one 10 of spades in a deck of 52 cards. Probability = 1/52.

More questions in this quiz

Answers and explanations are in the full quiz.

1. A bag contains only red and blue balls. The probability of drawing a red ball is 0.35. What is the probability of drawing a blue ball?
2. One card is drawn at random from a well-shuffled deck of 52 cards. What is the probability that it is a king?
3. A leap year is selected at random. What is the probability that it has 53 Sundays?
4. Two fair coins are tossed together. What is the probability of getting at least one head?
5. One card is drawn from a well-shuffled deck of 52 cards. What is the probability of getting a red face card?
6. A bag contains 4 white, 5 black and 6 red balls. One ball is drawn at random. What is the probability of getting a black or a red ball?
7. A fair six-sided die is thrown once. What is the probability of getting a prime number?
8. If P(E) = 2/5, then P(not E) is:
9. A bag contains 8 balls numbered 1 to 8. One ball is drawn at random. What is the probability that the number on it is a multiple of 3?
10. Two fair dice are thrown together. What is the probability that the sum of the numbers on them is 10?

More quizzes

• Statistics & Probability▶ Play

Browse all Statistics and Probability quizzes

More to play