Statistics and Probability — Important Questions
ICSE · Class 12 · Artificial Intelligence
62 important questions from Statistics and Probability for ICSE Class 12 Artificial Intelligence, with answers. Written for the board exams 2027.
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Important Questions from Statistics and Probability
A dataset has variance 49. Find the standard deviation.
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7
Standard deviation is the positive square root of variance. The square root of 49 is 7. So the standard deviation is 7.
A fair coin is tossed twice. What is the probability of getting two heads in a row?
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1/4
For one toss, P(head) = 1/2. The two tosses are independent, so multiply the probabilities: 1/2 × 1/2 = 1/4. So the probability is 1/4.
A fair die is rolled twice. What is the probability of getting a 3 on both rolls?
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1/36
The probability of getting 3 on one roll is 1/6. The rolls are independent, so multiply: 1/6 × 1/6 = 1/36. So the probability is 1/36.
A coin is tossed 80 times and heads appear 38 times. What is the probability of getting a tail?
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21/40
Total tosses = 80. Heads = 38, so tails = 80 - 38 = 42. Probability of tail = 42/80 = 21/40. So the probability of getting a tail is 21/40.
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