Module 5 - Unit 4: Probability

Self-Audit

For the multiple choice questions below, choose one answer, (a), (b), (c) or (d), that is CORRECT by clicking the appropriate box.
Calculators are NOT allowed unless it is indicated in the question.

Section 4.1 - Introduction to Probability Concepts

For Questions 1 to 4, which of the words certain, likely, unlikely and impossible best describes how likely each of these events is to take place.

Question 1
Brazil will win the next Football World Cup.
(A)Certain
(B)Likely
(C)Unlikely
(D)Impossible
Question 2
There will be snow in Kingston tomorrow.
(A)Certain
(B)Likely
(C)Unlikely
(D)Impossible
Question 3
Jamaican athletes will not win any gold medals at the next Commonwealth Games.
(A)Certain
(B)Likely
(C)Unlikely
(D)Impossible
Question 4
It will be dark for at least 8 hours in Negril tomorrow.
(A)Certain
(B)Likely
(C)Unlikely
(D)Impossible

Section 4.2 - Calculating the Probability of a Single Event

Questions 5 to 8 all relate to rolling a fair dice.
 

Question 5
What is the probability of getting a six?
(A)
0
(B)
1
6
(C)
1
2
(D)
None of these
Question 6
What is the probability of getting an odd number?
(A)
0
(B)
1
6
(C)
1
2
(D)
None of these
Question 7
What is the probability of getting a 1 or a 2?
(A)
1
6
(B)
1
3
(C)
1
2
(D)
None of these
Question 8
What is the probability of getting a number greater than 2?
(A)
1
3
(B)
1
2
(C)
2
3
(D)
None of these

Section 4.3 - Relative Frequency

Question 9
It rained on 18 days in November last year. Estimate the probability that it will rain on 20th November next year.
(A)
2
5
(B)
3
5
(C)
1
2
(D)
None of these
Question 10
Robert estimates that the probability that there will be an empty space in the car park when he
arrives at work is 4. His estimate is based on 50
5
observations. On how many of these 50 days was he unable to find an empty space in the car park?
(A)10
(B)20
(C)30
(D)40
Questions 11 and 12 relate to the information shown below

Paul draws the bar chart below to show the results for his football team so far this season.

Question 11
What is the probability that his team will win their next match?
(A)
2
10
(B)
3
10
(C)
1
2
(D)
None of these
Question 12
What is the probability that his team will not win their next match?
(A)
3
10
(B)
1
2
(C)
7
10
(D)
None of these

Section 4.4 - Complementary Events

Question 13
The probability that it will rain tomorrow is 2.
5
What is the probability that it will not rain tomorrow?
(A)
2
5
(B)
1
2
(C)
3
5
(D)
None of these
Question 14
If you throw a fair dice, the probability of getting a
5 or a 6 is 1. What is the probability of not getting
3
a 5 or a 6?
(A)
1
3
(B)
1
2
(C)
2
3
(D)
None of these
Question 15
A bag contains 11 balls, each marked with a number from 1 to 11. A ball is taken out at random. What is the probability that it is not odd?
(A)
1
2
(B)
5
11
(C)
6
11
(D)
None of these
Question 16
The probability that Arsenal will win their next
football match is 
7
. What is the probability that
10
Arsenal will not win their next football match?
(A)
3
10
(B)
1
2
(C)
7
10
(D)
None of these

Section 4.5 - Estimating the Number of Outcomes

Question 17
If you toss an unbiased coin 200 times, approximately how many times will you expect to get HEADS?
(A)50
(B)100
(C)150
(D)None of these
Question 18
If you throw an unbiased dice 60 times, approximately how many '6s' will you expect to get?
(A)10
(B)20
(C)30
(D)None of these
Question 19
A large packet of sweets has mint, fruit and toffee sweets, with equal probability. If there are 120 sweets in the packet, how many would you expect to be mint flavour?
(A)30
(B)40
(C)60
(D)None of these
Question 20
The probability that you find a prize in a cereal
packet is 
1
. How many prizes would you expect
20
to find if you opened 40 packets?
(A)1
(B)2
(C)4
(D)None of these


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Produced by R.D.Geach August 2014