PROBABILITY_updated(FINISH) - Probability S.T.Cheung CERTIFICATE MATHEMATICS S5 QUESTION PAPER CHAPTER 7 PROBABILITY 1981 1997 Tailored Syllabus[CE81-1

PROBABILITY_updated(FINISH) - Probability S.T.Cheung...

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Probability S.T.Cheung CERTIFICATE MATHEMATICS S5 QUESTION PAPER CHAPTER 7 PROBABILITY 1981 – 1997 T ailored Syllabus [CE81-1, 3/3] There are 40 students in a class, including students A and B . If two students are to be chosen at random as class representatives, find the probability that both A and B are chosen. (5 marks) [CE82-1, 3/6] If two dice are thrown once, find the probability that the sum of the numbers on the dice is (a) equal to 4, (b) less than 4, (c) greater than 4. (6 marks) [CE83/11] In a short test, there are 3 questions. For each question, 1 mark will be awarded for a correct answer and no marks for a wrong answer. The probability that John correctly answers a question in the test is 0.6. Find the probability that (a)John gets 3 marks in the test,(b)John gets no marks in the test,(c)John gets 1 mark in the test,(d)John gets 2 marks in the test. (3 marks) (3 marks) (4 marks) (2 marks) [CE84/11] (a) There are two bags. Each bag contains 1 red, 1 black and 1 white ball. One ball is drawn randomly from each bag. Find the probability that (i) the two balls drawn are both red; (ii) the two balls drawn are of the same colour; (iii) the two balls drawn are of different colours. (6 marks) (b) A box contain 2 red, 2 black and 3 white balls. One ball is drawn randomly from the box. After putting the ball back into the box, one ball is again drawn randomly. Find the probability that (i) the two balls drawn are both red; (ii) the two balls drawn are of the same colour; (iii) the two balls drawn are of different colours. (6 marks) [CE85/10] (a) If two dice are thrown, (i) find the probability that the sum of the numbers on the two dice is greater than 9; (ii) find the probability that the sum of the numbers on the two dice is greater than 9 or the numbers on the two dice are equal. (6 marks) (b) In a game, two dice are thrown. In each throw, 2 points are gained if the sum of the numbers on the two dice is greater than 9 or the numbers on the two dice are equal; otherwise 1 point is lost. Using the result in (a)(ii), find the probability of (i) losing a total of 2 points in two throws, (ii) gaining a total of a point in two throws. (6 marks) c8563b46b96437dd24287fd8442ad58bbfcf3b1f.doc Page 1
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Probability S.T.Cheung [CE86/13] A bag contains wooden blocks of 5 different shapes A , B , C , D and E . For each shape, there are 5 different colours red, orange, yellow, green and blue. For each colour of each shape, there is one block of each of the sizes L , M and S . (Hint: There are altogether 75 blocks in the box.) (a) When a block is picked out randomly from the box, what is the probability that it is of (i) red colour? (ii) blue colour and shape C ? (iii) size S , shape A or E but not yellow? (6 marks) (b) Two blocks are drawn at random from the box, one after the other. The first block drawn is put back into the box before the second is drawn. Find the probability that (i) the first block drawn is of size L and the second block is of size S , (ii) one of the blocks drawn is of size L and the other of size S , (iii) the two blocks drawn are of different sizes.
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