Data & Probability — practice questions, page 4
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A fair die is rolled again and again until a 6 appears. What is the probability that more than two…The mean of the first n natural numbers is 15.5. Find n.A committee of 3 members is chosen at random from 4 boys and 3 girls. What is the probability that…A data set has mean 25 and standard deviation 4. Find its coefficient of variation, as a percent.In a lottery 1000 tickets are sold. There is one prize of ₹3000 and ten prizes of ₹200 each. What…The marks of 40 students are given as a 'less than' table: less than 10: 5, less than 20: 14, less…In the data 4, 7, 9, 12, 18 the largest value 18 is replaced by 30. By how much does the median…For two events A and B it is given that P(A) = 0.7, P(B) = 0.4 and P(A and B) = 0.2. Find P(A…Find the mean deviation about the mean for the data 3, 6, 9, 12, 15.A committee of 4 people is chosen at random from 5 men and 4 women. What is the probability that…For the grouped data 0–10: 8, 10–20: 15, 20–30: 25, 30–40: 10, 40–50: 5 (class interval:…The number of buses running on three routes was recorded for two years. Route R1: 2023 40, 2024…The probability of hitting a target in a single shot is 1/3. Four shots are fired independently.…The heights 145, 150, 155, 160 and 165 cm occur with frequencies 6, 4, 10, 12 and 8. Using the…The odds in favour of an event are 5 : 3. What is the probability that the event does NOT happen?Three sections wrote the same test. Section A: students 20, mean mark 72. Section B: students 30,…The five letters of the word CHAIR are arranged at random in a row. What is the probability that…For the data 3, 5, 7, 9, 11, 61 find the difference between the mean and the median.For two events A and B it is given that P(A) = 0.5, P(B) = 0.4 and P(A or B) = 0.9. Which…The marks of 50 students are given as a 'more than' table. More than 0: 50, more than 10: 46, more…Two cards are drawn together at random from a well-shuffled pack of 52 playing cards. What is the…For the grouped data 100–120: 12, 120–140: 14, 140–160: 8, 160–180: 6, 180–200: 10 (class…In a group of 60 students, 30 play cricket, 25 play tennis and 20 play badminton. Also 12 play…Applications and selections at three centres. Centre X: applied 400, selected 60. Centre Y:…A box contains 4 red and 6 green balls. Balls are drawn one at a time at random and NOT replaced,…
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