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.

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
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   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%
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   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
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   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
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   Answer: A. 1/4

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

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