1. There are 1 000 books on a shelf. 364 of them are Chinese books, 506 of them are English books, and the rest are Japanese books. If a book is drawn from the shelf at random, find the probability of drawing a Japanese book.
A.
B. 
C. 
D. 
E. 
2. The figure shows the routes connecting 5 places. A mouse starts from X and chooses a route at random. The probability that the mouse reaches Y is
3. Two fair dice are thrown. What is the probability of getting a total of 11 or more?
4. Two fair dice are thrown. What is the probability that the sum is less than 6?
5. Two fair dice are thrown. What is the probability that the number on the first die is greater than that on the second die?
6. A card is drawn at random from a pile of 52 well-shuffled playing cards. The probability that a Queen or a King is drawn is
7. A card is drawn at random from a pile of 52 well-shuffled playing cards. The probability that a Club or an Ace is drawn is
8. The probability of hitting the shaded region on the square dart board shown in the figure is
9.
A 2-digit number is formed by any 2 of the integers 2, 3, 5 and 7 without repetition. The probability of forming an even number is10. 19p98 is a 5-digit number, where p is an integer. The probability that the number is divisible by 3 is
11. If the last 2 digits of a phone number are missing and they are dialled at random, what is the probability of getting the correct phone number?
12. The probability that Kelly can solve a problem is 
while that of Jason is 
. Find the probability that both of them can
solve the same problem.
13. In a box, 
of the apples and 
of the bananas are rotten. An apple and a banana
are chosen from the box at random. Find the probability that both of them are good ones.
14. In a box, there are 9 balls numbered from 1 to 9 respectively. If 2 balls are drawn from the box simultaneously, find the probability that the product of the numbers drawn is even.
15. One letter is chosen from each of the words 
and 
. Find the
probability that both letters are the same.
16. One letter is chosen from each of the words 
and 
. Find the
probability of getting 2 different vowels.
17. The probabilities for Helen to pass the English exam and Chinese exam are 
and 
respectively. What is the probability that she will get
a pass in English but fail in Chinese?
18. There are 3 children in a family. What is the probability that there is at least one boy?
19. The frequencies of getting 1 to 6 in throwing a die are shown in the following table.
Number
1
2
3
4
5
6
Frequency
153
121
149
156
169
197
Find the experimental probability of getting an even number.
20. A box contains 3 silver coins and 2 gold coins. Ben draws a coin from the box at random without replacement. Then Ann draws a coin from the box. The probability that Ann gets a gold coin is
