Basic Probability Concepts Quiz - CBSE Class 12 Mathematics

Free practice quiz: Basic Probability Concepts (CBSE Class 12 Mathematics). 17 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This CBSE Class 12 Mathematics practice quiz has 17 multiple-choice questions on Basic Probability Concepts, and 17 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.

Sample questions

1. What is the probability of getting a tail when a fair coin is tossed?

   1. 0
   2. 0.25
   3. 0.5
   4. 1
   Show answer

   Answer: C. 0.5

   A fair coin has two sides: heads and tails. Therefore, the probability of getting a tail is 1 favorable outcome (tail) out of 2 possible outcomes (head or tail), which is 0.5.

2. What is the probability of drawing a queen from a standard deck of cards?

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

   Answer: B. 1/13

   In a standard deck of 52 cards, there are 4 queens. The probability of drawing a queen is the number of queens (4) divided by the total number of cards (52), which simplifies to 1/13.

3. A box contains 5 red, 3 blue, and 2 green balls. What is the probability of randomly selecting a blue ball?

   1. 1/10
   2. 3/10
   3. 1/5
   4. 3/5
   Show answer

   Answer: B. 3/10

   The total number of balls is 5 (red) + 3 (blue) + 2 (green) = 10. The probability of selecting a blue ball is the number of blue balls (3) divided by the total number of balls (10), which equals 3/10.

4. In a probability experiment, what does a probability of 1 indicate?

   1. The event is impossible
   2. The event is certain
   3. The event may or may not happen
   4. The event cannot occur
   Show answer

   Answer: B. The event is certain

   A probability of 1 indicates that the event will certainly occur. For instance, if the probability of it raining tomorrow is 1, it means that it will definitely rain.

5. What is the probability that a randomly selected day is a Saturday in a week?

   1. 1/7
   2. 1/5
   3. 1/2
   4. 1
   Show answer

   Answer: A. 1/7

   A week has 7 days. The probability of randomly selecting a Saturday is the number of favorable outcomes (1 Saturday) over the total number of days (7), which is 1/7.

More questions in this quiz

Answers and explanations are in the full quiz.

1. In a bag of 10 balls, 4 are red, and 6 are blue. What is the probability of selecting a red ball?
2. If a die is rolled, what is the probability of rolling an even number?
3. In an event where there are 3 outcomes: A, B, and C, what is the probability of outcome A if all outcomes are equally likely?
4. If the probability of an event occurring is 0.7, what is the probability of the event not occurring?
5. What is the probability of getting at least one head when flipping a fair coin twice?
6. If you have a 5-sided die that is fair, what is the probability of rolling a number greater than 3?
7. In a lottery, you pick one number from 50. If you choose the correct number, you win. What is the probability of winning?
8. If the probability of winning a game is 0.8, what is the probability of losing the game?
9. In a group of 5 friends, what is the probability that John is selected if one friend is chosen at random?
10. In a class of 60 students, 24 are girls. What is the probability that a randomly selected student is a girl?
11. If a box has 10 red and 2 green balls, what is the probability of picking a red ball?
12. What is the probability of rolling a sum of 7 with two fair dice?

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