Statistics & Probability Quiz - CBSE Class 10 Mathematics

Free practice quiz: Statistics & Probability (CBSE Class 10 Mathematics). 18 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

Sample questions

1. A coin is tossed 3 times. What is the probability of getting at least one head?

   1. 1/8
   2. 1/2
   3. 7/8
   4. 3/4
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   Answer: C. 7/8

   The total number of possible outcomes when a coin is tossed 3 times is 2^3 = 8. The outcomes with no heads is only 1 (TTT). Hence, the probability of getting at least one head is 1 - (1/8) = 7/8.

2. If an experiment has outcomes with probabilities P(A) = 0.3 and P(B) = 0.6, what is the probability of A or B occurring assuming they are mutually exclusive?

   1. 0.1
   2. 0.9
   3. 0.5
   4. 0.8
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   Answer: B. 0.9

   For mutually exclusive events, P(A or B) = P(A) + P(B) = 0.3 + 0.6 = 0.9.

3. What is the probability of drawing a king from a standard deck of cards?

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

   There are 4 kings in a deck of 52 cards. Hence, the probability of drawing a king is 4/52 = 1/13.

4. A bag contains 3 red balls, 4 blue balls, and 5 green balls. What is the probability of picking a blue ball?

   1. 1/3
   2. 1/4
   3. 1/12
   4. 1/6
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   Answer: A. 1/3

   The probability is the number of favorable outcomes divided by the total number of outcomes. So, P(blue) = 4/(3+4+5) = 4/12 = 1/3.

5. Find the variance of the data set: 2, 4, 4, 4, 5, 5, 7, 9.

   1. 4
   2. 3.5
   3. 3
   4. 2.5
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   Answer: A. 4

   Variance is the average of squared differences from the Mean. For this dataset, variance is 4.

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