Probability Distributions Quiz - CBSE Class 12 Mathematics

Free practice quiz: Probability Distributions (CBSE Class 12 Mathematics). 18 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This CBSE Class 12 Mathematics practice quiz has 18 multiple-choice questions on Probability Distributions, and 18 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 sum of 7 when rolling two six-sided dice?

   1. 1/6
   2. 1/12
   3. 1/36
   4. 1/2
   Show answer

   Answer: A. 1/6

   There are 6 ways to get a sum of 7 (1+6, 2+5, 3+4, 4+3, 5+2, 6+1) out of 36 total outcomes when rolling two dice, hence the probability is 6/36 = 1/6.

2. What is the probability of rolling a number greater than 4 with a single die?

   1. 1/3
   2. 1/2
   3. 1/6
   4. 1/5
   Show answer

   Answer: A. 1/3

   The numbers greater than 4 on a die are 5 and 6, which gives us 2 favorable outcomes out of 6 total outcomes; hence the probability is 2/6 = 1/3.

3. In a normal distribution, what percentage of the data falls within one standard deviation of the mean?

   1. 68%
   2. 50%
   3. 95%
   4. 100%
   Show answer

   Answer: A. 68%

   In a normal distribution, approximately 68% of the data falls within one standard deviation of the mean.

4. What is the probability of getting at least one heads in three flips of a fair coin?

   1. 1/8
   2. 3/8
   3. 7/8
   4. 1
   Show answer

   Answer: C. 7/8

   The probability of getting at least one heads in three flips is 1 - P(no heads) = 1 - (1/2)^3 = 1 - 1/8 = 7/8.

5. Calculate the probability of drawing a heart from a standard deck of cards.

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

   Answer: A. 1/4

   There are 13 hearts in a 52 card deck. Therefore, the probability is 13/52 = 1/4.

More questions in this quiz

Answers and explanations are in the full quiz.

1. If a fair coin is tossed, what is the probability of getting heads?
2. What is the probability of drawing an Ace from a standard deck of cards?
3. If you roll a die, what is the probability of rolling an even number?
4. What is the expected value of a fair six-sided die?
5. What is the sum of the probabilities of all possible outcomes of a probability experiment?
6. If the probability of event A is 0.3 and the probability of event B is 0.7, what is the probability of neither event occurring?
7. What type of distribution is used when outcomes are counted and the number of trials is fixed?
8. If you have a data set with a mean of 50 and a standard deviation of 5, what represents the Z score of a value of 60?
9. In a standard normal distribution, approximately what percentage of data falls within two standard deviations of the mean?
10. In a dataset with a normal distribution, what does the area under the curve represent?
11. What is the central limit theorem?
12. If the average score of a student over five tests is 80, what is the average score needed on the next test for the overall average to be 82?
13. What is the characteristic function of a probability distribution?

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