15 Relative Frequency And Probability Examples And Worksheets - Maths Quest General Maths Preliminary Course Page 28
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30CHaPTER REVIEW
MuLTIPLE CHOICE
d
a square number
e
a prime number
1
A number is chosen at random from the
MC
f
a double-digit number.
numbers 1 to 50. The probability that a multiple of 3
5
A card is to be chosen from a standard deck. Find
is chosen is:
the probability that the card chosen is:
3
8
16
34
A
B
C
D
a
the 2 of clubs
50
25
34
50
b
any 2
2
The probability of a footballer kicking a goal
MC
c
any club
5
is
. The chance of him kicking the goal could best
d
a black card
8
be described as:
e
a court card
A
B
unlikely
fi fty-fi fty
f
a spot card.
C
D
probable
certain
6
A video collection has 12 dramas, 14 comedies, 4
3
An Olympic Games shooter hits a target with
MC
horror and 10 romance movies. If I choose a movie
46 out of 50 shots. The relative frequency of him
at random from the collection, find the probability
hitting his target is:
that the movie chosen is:
A
B
C
D
0.03
0.46
0.50
0.92
a
b
a comedy
a horror
c
not romance.
4
The probability of a missile hitting its target
MC
17
is
. The probability of missing the target is:
7
The digits 5, 7, 8 and 9 are written on cards. They
25
are then arranged to form a four-digit number. Find
1
8
17
A
B
C
D
1
the probability that the number formed is:
25
25
25
a
7895
SHORT aNSWER
b
odd
1
From every 100 televisions on a production line,
c
divisible by 5
two are found to be defective. If you choose a
d
greater than 7000
television at random, find the relative frequency of
e
less than 8000.
defective televisions.
8
A raffle has 2000 tickets sold and has two prizes.
2
It is found that 150 of every thousand 17-year-old
Michelle buys five tickets.
drivers will be involved in an accident within one
a
Find the probability that Michelle wins 1st prize.
year of having their driver’s licence.
b
If Michelle wins 1st prize, what is the
a
What is the relative frequency of a 17-year-old
probability that she also wins 2nd prize?
driver having an accident?
9
A barrel contains marbles with the numbers 1 to 40
b
If the average cost to an insurance company
on them. If one marble is chosen at random find, as
of each accident is $5000, what would be the
a decimal, the probability that the number drawn is:
minimum premium that an insurance company
a
26
should charge a 17-year-old driver?
b
even
3
The numbers 1 to 5 are written on the back of
c
greater than 10.
5 cards that are turned face down. Michelle then
10
A carton of soft drinks contains 12 cola, 8 orange
chooses one card at random. Michelle wants to
and 4 lemonade drinks. If a can is chosen at
choose a number greater than 2. List the sample
random, find the probability, as a percentage, that
space and all favourable outcomes.
the can chosen is:
4
A barrel contains 25 balls numbered from 1 to
a
cola
25. One ball is drawn from the barrel. Find the
b
orange
probability that the marble drawn is:
c
not orange.
a
13
5
11
If an event has a probability of
, would the event
b
7
9
c
an odd number
be unlikely, fifty-fifty or probable?
506
Maths Quest General Maths Preliminary Course
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