Data & Probability — practice questions, page 12
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QuestionTrees in a park are grouped by height in metres as 0–10: 20 trees, 10–30: 32 trees, 30–60: 36…QuestionA box contains 5 white, 7 black and 8 red balls. A ball is drawn at random, its colour is noted…QuestionA fair coin and a fair die are tossed together. What is the probability of getting a tail on the…QuestionSix athletes of equal ability run a race, so that all finishing orders are equally likely and…QuestionTwo coaching centres each teach 200 students in a morning batch and an evening batch. Centre P:…QuestionTen students, among them a pair of twins, are divided at random into two teams of five for a quiz.…QuestionThe marks of 70 candidates are grouped as 0–10: 5, 10–20: f₁, 20–30: 20, 30–40: 15, 40–50: f₂, and…QuestionA bag has 4 green and 6 yellow marbles. Three marbles are taken out at random and put aside…QuestionA stall's daily sales for one week, in rupees hundred, were Monday 120, Tuesday 150, Wednesday 90,…QuestionA box holds 12 tickets: 3 of them are marked 1, five are marked 2 and four are marked 3. A ticket…QuestionIn a test taken by 400 students, Meera's score is at the 85th percentile. How many students scored…QuestionThe 200 students of a school were classified by sex and by whether they own a bicycle. Girls: owns…QuestionFive shops stand along a straight road at the 2 km, 5 km, 9 km, 10 km and 24 km marks. A courier…QuestionEach of the digits 2, 3, 5 and 7 is used exactly once to build a four-digit number, and every such…QuestionA survey records the ages of 300 people only as a grouped frequency table with the classes 0–20,…QuestionTwo events A and B are independent. Given that P(A) = 0.3 and P(A or B) = 0.65, find P(B).QuestionA share bought for ₹200 rose by 100 percent during the first year and then fell by 50 percent…QuestionAn office has 4 people in the Sales department, 3 in Accounts and 2 in Despatch. Three of the nine…QuestionThe runs scored by two players are shown in a back-to-back stem-and-leaf display, the stem being…QuestionA spinner has four equal sectors, exactly one of which is red. It has just been spun four times…QuestionEight hundred people were asked how often they use a library. The relative frequencies recorded…QuestionBag A holds 3 red and 2 white balls; Bag B holds 2 red and 4 white balls. One ball is taken at…QuestionThe marks of 25 students are recorded as — mark 10: 3 students, mark 20: 5 students, mark 30: 8…QuestionA fair die is to be rolled several times. What is the SMALLEST number of rolls for which the…QuestionFor the five readings 3, 8, 11, 15 and 23, the quantity (3 − a)² + (8 − a)² + (11 − a)² + (15 −…
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