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Data & Probability — practice questions, page 13

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QuestionA team of 5 is chosen at random from a club of 6 boys and 4 girls. What is the probability that…QuestionA mango farm has 500 trees. Twenty trees were picked at random and their mean yield was 84 mangoes…QuestionA cycle lock has three wheels, each showing one of the numbers 1 to 6, and every setting is…QuestionBag A holds 3 red and 2 yellow balls. Bag B holds 5 red and 4 yellow balls. One ball is to be…QuestionA survey reports the percentage of households owning each number of vehicles as — 0 vehicles: 10…QuestionAnaya and Bhavik take turns rolling a fair die, Anaya rolling first, and whoever rolls the first…QuestionThe mean of 25 observations was worked out as 48. It was then found that one observation had been…QuestionThree fair dice, one red, one blue and one green, are thrown together. What is the probability…QuestionSet A has 20 readings whose smallest is 5 and whose range is 12. Set B has 30 readings whose…QuestionA relay team of 3 is chosen at random from 7 athletes, two of whom are brothers. What is the…QuestionThe goals scored by a team in 41 matches were — 0 goals in 6 matches, 1 goal in 11 matches, 2…QuestionA full set of dominoes has 28 tiles, one for every unordered pair of numbers from 0 to 6, doubles…QuestionThe scores of 80 students are grouped as 0–20: 10, 20–40: 18, 40–60: 24, 60–80: 20, 80–100: 8…QuestionTwo players contest a best-of-three match, so the first to win two games takes the match. Each…QuestionA batter scored 360 runs in 15 innings during a season and was not out in 3 of those innings. A…QuestionTwo events A and B satisfy P(A) = 0.6, P(B) = 0.35 and P(A given B) = 0.4. Find P(A or B).QuestionWhich of these sets of five whole numbers has mean 8 and median 6?QuestionThe median of the data 4, 7, 9, 3, 12, 8 isQuestionThe mean of 5 numbers is 18. When one number is removed, the mean of the remaining 4 becomes 16.…QuestionThe mean of 6 observations is 15. If the observation 8 is removed, find the mean of the remaining…QuestionA bag contains 5 red, 4 green and 6 blue balls. One ball is drawn at random. Find the probability…QuestionThe mean of 6 numbers is 15. When one number is removed, the mean of the remaining 5 numbers…QuestionA fair die is thrown once. The probability of getting a number greater than 4 is ?QuestionA fair die is thrown once. The probability of getting a prime number is?QuestionSix numbers have a mean of 25. When one of them is removed, the mean of the remaining 5 numbers is…

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