Math topic中文

Single events

probability of single events (including listing all the possible outcomes in a simple chance situation to calculate the probability)

Practice questions

  1. 1A bag contains 4 black coins, 7 red coins and 11 white coins. Two coins are drawn from the bag at random, one after anot…
  2. 2A bag contains 12 balls. 2 of the balls are red, n are green balls and the rest are blue balls. Eunice takes two balls f…
  3. 3A survey was carried out to find out the number of emails received in a week by each of a group of students. The table b…
  4. 4A bag contains 2 gold balls, rr red balls and ss silver balls where r×sr \times s is prime number and r<sr < s. The tota…
  5. 5The following stem-and-leaf diagram shows the marks obtained by 20 pupils in a class test that has a total mark of 50. S…
  6. 6During a game, Lee rolled two fair six-sided die. To obtain the score, he subtracted the lower number from the higher nu…
  7. 7A bag contains some green counters, some orange counters and some yellow counters. The probability of picking a green co…
  8. 8The stem and leaf diagram below shows the marks obtained by 30 students in a Science test marked out of 80 marks. Find t…
  9. 9A game has two sets of eight icons. One icon from each set is randomly chosen to be displayed on each turn, starting wit…
  10. 10Jane had a box filled with 8 red pens, 4 blue pens and 6 green pens. She took out two pens at random, one after the othe…
  11. 11John owns a cleaning company that cleans office blocks. The number of employees in his company and their salaries in 202…
  12. 12A bag contains black, blue and yellow balls. A ball is picked at random from the bag. The probability that the ball is b…
  13. 13A box of chocolate contains 7 dark chocolates and 5 milk chocolates. Sufyan takes a chocolate, selected at random, from…
  14. 14A box contains 15 marbles of which xx are green and the rest are yellow. Write down the probability, in terms of xx, t…
  15. 15A bag contains 8 red balls, 5 green balls and 7 yellow balls. A ball is chosen at random and then replaced. What is the…
  16. 16A box contains 80 paper clips, some of which are grey, some are yellow and the rest are blue. The probability of drawing…
  17. 17在小明，小红，小刚中挑选2人去扫地，1人去擦黑板，那么小明去扫地的可能性大还是去擦黑板的可能性大?
  18. 18A bag contains 150 chips. There are 60 blue chips, x red chips and y green chips in the bag. The probability of drawing…
  19. 19The probabilities of Andrew, Ben and Caleb passing the driving test are 35\frac{3}{5}, 23\frac{2}{3} and 34\frac{3}{4} r…
  20. 20The box-and-whisker plots show the distribution of the masses (in grams) of eggs sold in Shop A and Shop B. There are 25…
  21. 21In a particular month, 21 people took a driving test. One of the 21 people is selected at random. The probability that i…
  22. 22A fitness centre has 16 employees. One of the 16 employees is selected at random. The probability that it is a woman wor…
  23. 23在一个不透明的口袋中装有55个质地、大小、颜色完全相同的小球，把它们分别标号为11，22，33，44，55，从中随机摸出一个小球，其标号不大于33的概率为()() A. 15 \dfrac {1}{5}…
  24. 24A survey was carried out to find the amount of money spent by 100 customers in a supermarket. This information was group…
  25. 25The cumulative frequency curve shows the distribution of marks scored by 180 students in a Mathematics examination in 20…
  26. 26John flipped a coin five times and obtained five successive heads. Is it conclusive that the coin is biased? Explain you…
  27. 27一个50人的班级中，40人学数学，32人学物理，每人至少学一科。 用韦恩图求两科都学的人数，并求随机选一人恰好学两科的概率。
  28. 28The cumulative frequency curve shows the distribution of the wages per week of 80 workers in a factory. Use the curve to…
  29. 29The diagram shows a lucky draw spinner at a departmental store. The pointer is equally likely to stop at any of the sect…
  30. 30A box has 20 pots of plants. There are 5 pink pots, 9 blue pots and the remaining pots are green. (i) Two pots are taken…
  31. 31某个密码锁的密码由三个数字组成，每个数字都是0−90-9这十个数字中的一个，只有当三个数字与所设定的密码及顺序完全相同时，才能将锁打开.如果仅忘记了锁设密码的最后那个数字，那么一次就能打开该密码的概率是()() A. 19 \dfrac {1}{9}…
  32. 32Five discs numbered 1, 3, 4, 6 and 7 are placed in a bag. Two disc are taken out of the bag at random without replacemen…
  33. 33The masses of 40 oranges were measured. The cumulative frequency curve below shows the distribution of the masses. Use t…
  34. 34ξ={integers x:1<x<21}\xi = \{\text{integers } x : 1 < x < 21\} A={integers that are perfect squares}A = \{\text{integers that are perfect squares}\} B={integers that are not prime numbers}B = \{\text{integers that are not prime numbers}\}…
  35. 35Students in a class were asked how many siblings they have. The results are shown in the table. The modal number of sibl…
  36. 36A drawer contains 2 blue socks and 6 white socks. Two socks are taken from the drawer at random without replacement. If…
  37. 37在六张卡片上分别写有ππ，13 \dfrac {1}{3}，1.51.5，−3-3，00，2 \sqrt {2}六个数，从中任意抽取一张，卡片上的数为无理数的概率是()() A. 16 \dfrac {1}{6}…
  38. 38一个不透明的袋中装有2020个球，其中77个黄球，88个黑球，55个红球，这些球只有颜色不同，其他都相同. (1)求从袋中摸出一个球是黄球的概率;(2);(2)现从袋中取出若干个黑球，搅匀后，再从袋中摸出一个球是黑球的…
  39. 39一个袋中有3个红球和5个白球，不放回地连取2个球，求两个都是红球的概率。
  40. 40In February 2021, a survey was carried out to find the number of days 500 patients stayed at a hospital. The graph shows…
  41. 41There are 12 girls and 9 boys in a group. Find, in its simplest form, the probability of selecting a boy randomly from t…
  42. 42The table shows the colour of the pen 200 people took during a game. A person is selected at random. Find, as a percenta…
  43. 43The time spent by 60 students on social media in a week is recorded. The cumulative frequency curve below shows the dist…
  44. 44A bag contains 15 red marbles, some blue marbles and some yellow marbles. A marble is chosen at random from the bag. The…