15 Relative Frequency And Probability Examples And Worksheets - Maths Quest General Maths Preliminary Course Page 21
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308
For which of the following events can the
MC
probability not be calculated?
A
Selecting the fi rst number drawn from a
barrel containing 20 numbered marbles
B
Selecting a diamond from a standard deck
of cards
C
Winning the lottery with one ticket out of
150 000
D
Selecting the winner of the Olympic
100-metre fi nal with 8 runners
9
In a batch of 2000 cars that come off an
WE 12
assembly line, 50 have faulty paintwork. A car
is chosen at random.
a
Find the probability that it has faulty
paintwork.
b
Describe the chance of buying a car with
faulty paintwork.
10
A box of matches has on the label ‘Minimum
contents 50 matches’. The quality control
department of the match manufacturer surveys
boxes and finds that 2% of boxes have less than
50 matches. Find the probability that a box
contains at least 50 matches and describe this chance.
11
A box of breakfast cereal contains a card on which there may be a prize. In every
100 000 boxes of cereal the prizes are:
1 new car
5 Disneyland holidays
50 computers
2000 prizes of $100 in cash
50 000 free boxes of cereal
All other boxes have a card
labelled ‘Second Chance Draw’.
Describe the chance of getting a
card labelled:
a
new car
b
free box of cereal
c
any prize
d
‘Second Chance Draw’.
12
For each of the following determine whether the statement is true or false, giving a
WE 13
reason for your answer.
4
a
The probability of selecting an ace from a standard deck of cards is
.
52
1
b
The probability of selecting the letter P randomly from a page of a book is
.
26
1
c
In a class of 30 students, the probability that Sam tops the class in a Maths test is
.
30
1
d
In a class of 30 students the probability that Sharon’s name is drawn from a hat is
.
30
Further development
13
Describe the following.
a
The probability of rain tomorrow
b
Will everyone give the same answer to this question?
c
Can the rules of probability be applied to this question? Explain why or why not.
499
Chapter 15
Relative frequency and probability
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