Introduction to Probability Quiz - CBSE Class 11 Mathematics

Free practice quiz: Introduction to Probability (CBSE Class 11 Mathematics). 17 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This CBSE Class 11 Mathematics practice quiz has 17 multiple-choice questions on Introduction to Probability, 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 head when tossing a fair coin?

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

   Answer: B. 1/2

   A fair coin has two equally likely outcomes: heads or tails. The probability of getting heads is the number of favorable outcomes (1) divided by the total number of possible outcomes (2).

2. A card is drawn from a standard deck of 52 cards. What is the probability that the card is a king?

   1. 1/13
   2. 1/4
   3. 4/13
   4. 1/52
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   Answer: A. 1/13

   There are 4 kings in a standard deck of 52 cards. The probability of drawing a king is the number of kings (4) divided by the total number of cards (52), which simplifies to 1/13.

3. A box contains 10 light bulbs, of which 3 are defective. Two bulbs are selected at random without replacement. What is the probability that both bulbs are defective?

   1. 3/30
   2. 3/10
   3. 1/15
   4. 1/10
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   Answer: C. 1/15

   Probability of the first bulb being defective is 3/10. After selecting one defective bulb, there are 2 defective bulbs left out of 9 total bulbs. The probability of the second bulb being defective is 2/9. The probability of both events happening is (3/10) * (2/9) = 6/90 = 1/15.

4. A committee of 3 people is to be selected from a group of 5 men and 4 women. What is the probability that the committee will consist of 2 men and 1 woman?

   1. (5C2 * 4C1) / 9C3
   2. (5C2 + 4C1) / 9C3
   3. (5C2 * 4C1) / (5P2 * 4P1)
   4. (5P2 * 4P1) / 9P3
   Show answer

   Answer: A. (5C2 * 4C1) / 9C3

   We need to choose 2 men from 5 and 1 woman from 4. The number of ways to do this is 5C2 * 4C1. The total number of ways to choose a committee of 3 from 9 people is 9C3. The probability is (5C2 * 4C1) / 9C3.

5. A box contains 5 red balls and 3 blue balls. Two balls are drawn at random without replacement. What is the probability that the first ball is red and the second ball is blue?

   1. (5/8) * (3/7)
   2. (5/8) * (3/8)
   3. (5/8) + (3/7)
   4. (5/8) + (3/8)
   Show answer

   Answer: A. (5/8) * (3/7)

   The probability of drawing a red ball first is 5/8. After drawing one red ball, there are 3 blue balls and 4 red balls remaining, for a total of 7 balls. The probability of drawing a blue ball second is 3/7. The probability of both events occurring is (5/8) * (3/7).

More questions in this quiz

Answers and explanations are in the full quiz.

1. What is the probability of rolling a 3 on a standard six-sided die?
2. A bag contains 5 red marbles and 3 blue marbles. What is the probability of picking a blue marble?
3. Two coins are tossed. What is the probability of getting at least one head?
4. A bag contains 3 red balls, 4 blue balls, and 5 green balls. What is the probability of selecting a ball that is NOT red?
5. Three coins are tossed. What is the probability of getting exactly two heads?
6. A bag contains 6 red balls and 4 green balls. Two balls are drawn without replacement. What is the probability that both balls are red?
7. What is the probability of rolling a sum of 7 when rolling two fair six-sided dice?
8. Two cards are drawn from a standard deck without replacement. What is the probability that both cards are aces, given that at least one is an ace?
9. If A and B are independent events with P(A) = 0.6 and P(B) = 0.4, what is P(A or B)?
10. In a group of 100 students, 60 study Math, 50 study Physics, and 30 study both Math and Physics. What is the probability that a randomly selected student studies neither Math nor Physics?
11. Three cards are drawn from a standard deck without replacement. What is the probability that all three cards are of the same suit?
12. A biased coin has a probability of 0.6 of landing heads. If the coin is tossed 5 times, what is the probability of getting exactly 3 heads?

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