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.

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
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   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
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   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)
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   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).

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