15 Relative Frequency And Probability Examples And Worksheets - Maths Quest General Maths Preliminary Course Page 12
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to
?
2
A
The number on the uppermost face is greater than 3.
B
The number on the uppermost face is even.
C
The number on the uppermost face is at least a 3.
D
The number on the uppermost face is a prime number.
14
A card is chosen from a standard deck. The probability that the card chosen is a court
MC
card is:
1
1
3
4
A
B
C
D
52
13
13
13
15
When a card is chosen from a standard deck, which of the following events is most likely
MC
to occur?
A
B
choosing a seven
choosing a club
C
D
choosing a picture card
choosing a black card
16
One thousand tickets are sold in a raffle. Craig buys five tickets.
a
One ticket is drawn at random. The holder of that ticket wins fi rst prize. Find the
probability of Craig winning fi rst prize.
b
After the fi rst prize has been drawn, a second prize is drawn. If Craig won fi rst prize,
what is the probability that he now also wins second prize?
17
A lottery has 160 000 tickets. Janice buys one ticket. There are 3384 cash prizes in the lottery.
a
What is the probability of Janice winning a cash prize?
b
If there are 6768 consolation prizes of a free ticket for being one number off a cash prize,
what is the probability that Janice wins a consolation prize?
c
What is the probability that Janice wins either a cash prize or a consolation prize?
18
A number is formed using all five of the digits 1, 3, 5, 7 and 8. What is the probability that the
number formed:
a
b
begins with the digit 3?
is even?
c
d
is odd?
is divisible by 5?
e
is greater than 30 000?
f
is less than 20 000?
19
Write down an example of an event which has a probability of:
1
1
2
a
b
c
.
2 2
4 4
5 5
20
A three-digit number is formed using the digits 2, 4 and 7.
a
Explain why it is more likely that an even number will be formed than an odd number.
b
Which is more likely to be formed: a number less than 400 or a number greater
than 400?
Further development
2
21
It is known that the probability of selecting a blue ball from a bag is
.
5
a
How many blue balls are in the bag if it known there is 80 balls in the bag?
b
How many balls are in the bag if it is known that there are 28 blue balls?
7
22
The probability that a black ball is selected from a bag is
. Another bag contains an equal
20
7
number of balls. The probability that a black ball is selected from the second bag is
. Find the
12
probability of selecting a black ball from the combined contents of the two bags.
23
A card is drawn at random from a standard deck of cards. Find the probability that the card
selected is:
a
a black ace
b
a black card
c
d
not a heart
a jack or a queen
e
a jack or a spade.
24
John has a 12 sided die and Lisa has a 20 sided die. They are playing a game where the first
490
Maths Quest General Maths Preliminary Course
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