15 Relative Frequency And Probability Examples And Worksheets - Maths Quest General Maths Preliminary Course Page 20
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30REMEMBER
1.
Probabilities range from 0 to 1. A probability of 0 means that the event is impossible,
while a probability of 1 means the event is certain.
2.
By calculating the probability, we are able to make a connection with the more
informal descriptions of chance.
3.
The rules of probability can be applied only when each outcome is equally likely to
occur.
EXERCISE
Range of probabilities
15D
1
For each of the probabilities given below, state whether the event would be imposs ible,
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unlikely, even chance, probable or certain.
7
10
3
a
b
c
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13
8
SkillSHEET 15.5
37
25
d
e
f
1
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40
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Probability
19
12
g
i
h
0
scale
36
25
2
For each of the events below, calculate the probability and hence state whether the event is
impossible, unlikely, even chance, probable or certain.
a
Rolling a die and getting a negative number
b
Rolling a die and getting a positive number
c
Rolling a die and getting an even number
d
Selecting a card from a standard deck and getting a red card
e
Selecting a card from a standard deck and getting a spot card
f
Selecting a card from a standard deck and getting an ace
g
Reaching into a moneybox and selecting a 30c piece
h
Selecting a blue marble from a bag containing 3 red, 3 green and 6 blue marbles
3
Give an example of an event with a probability which is:
a
b
c
certain
probable
even chance
d
e
unlikely
impossible.
4
The probabilities of five events are given below. Write these in order from the most likely to
the least likely event.
7
8
9
13
6
13
19
18
20
25
5
By calculating the probability of each, write the following events in order from least to most
likely.
A — Winning a raffl e with 5 tickets out of 30
B — Rolling a die and getting a number less than 3
C — Drawing a green marble from a bag containing 4 red, 5 green and 7 blue marbles
D — Selecting a court card from a standard deck
E — Tossing a coin and having it land Heads
6
The probabilities of several events are shown below. Which of these is the most likely to
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occur?
1
19
22
20
A
B
C
D
2 2
36 36
45 45
32 32
7
Cards in a stack have the letters of the alphabet written on them (one letter per card).
MC
Vesna draws a card from the stack. The probability of selecting a card that has a vowel written
on it could best be described as:
A
impossible
B
unlikely
C
even chance
D
probable
498
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