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Counting Principle Worksheet

Counting Principle Worksheet
  • Page 1
 1.  
Find the number of choices available to choose an animal in the tree diagram.

a.
9
b.
12
c.
18
d.
14


Answer: (a)


Correct answer : (1)
 2.  
Which of the tree diagrams represents all the possible outcomes of tossing two coins?


a.
Figure 1
b.
Figure 2
c.
Figure 3
d.
Figure 4


Answer: (c)


Correct answer : (3)
 3.  
Use the tree diagram to find the number of ways in which Paul can choose a tie.


a.
2
b.
3
c.
9
d.
6


Answer: (c)


Correct answer : (3)
 4.  
A blue, red or green cube is selected and a coin is tossed. Which of the tree diagrams represents all the possible outcomes of the two events?


a.
Tree diagram 1
b.
Tree diagram 2
c.
Tree diagram 3
d.
Tree diagram 4


Answer: (a)


Correct answer : (1)
 5.  
A 3-digit number is formed with the digits 1, 2, 3, 4, 5, 6 with no repetition of any digit. Find the probability that the number is divisible by 5.
a.
1
b.
5 6
c.
1 2
d.
1 6


Answer: (d)


Correct answer : (4)
 6.  
3 persons attend an interview at a company where each person can be either selected or rejected. Find the number of ways of announcing the result.
a.
2
b.
8
c.
4
d.
16


Answer: (b)


Correct answer : (2)
 7.  
There are 5 routes from City A to City B, 9 routes from City B to City C. Find the number of different ways for a person to travel from City A to City C via City B.
a.
44
b.
14
c.
46
d.
45


Answer: (d)


Correct answer : (4)
 8.  
From a group of 14 children, 11 boys and 3 girls, 3 children are selected at random. Find the probability that the selected group contains more girls than boys.
a.
381 182
b.
563 182
c.
17 182
d.
199 182


Answer: (c)


Correct answer : (3)
 9.  
A basket contains 15 apples, 20 pears, and 10 oranges. If 8 of them are selected at random, then what is the probability of picking 3 apples, 2 pears and 3 oranges?
a.
(20C2)(10C3)45C8
b.
38
c.
(15C3)(20C2)(10C3)45C8
d.
(15C8)45C8


Answer: (c)


Correct answer : (3)
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