The Robert Smyth SchoolTopic 1
Mathematics FacultyProbability
Homework on Probability scale and listing outcomes
1.The probabilities of the following events have been marked on the probability scale below.
A:The next person to pass you will be less than 80 years old.
B:Tomorrow will be Sunday.
C:A fair three-sided spinner, coloured red, blue and green, will land on red.
Label each arrow with a letter to show which event it represents.
(2)
2.A fair six-sided dice is thrown once.
The probabilities of the following events have been marked on the probability scale below.
A:An even number is thrown.
B:A ‘7’ is thrown.
C:A number less than 5 is thrown.
Label each arrow with the letter to show which event it represents.
(Total 3 marks)
3.There are 10 beads in a bag. Three beads are green, three are red and four are yellow. One bead is taken out of the bag at random.
The probabilities of three events have been marked on the probability scale below.
A: The bead is yellow.
B: The bead is white.
C: The bead is not red.
Label each arrow with the letter to show which event it represents.
(Total 3 marks)
4.A fair spinner has five sections.
Two sections are red, one is white, one is black and one is yellow.
The spinner is spun once.
(a)Which colour is the spinner most likely to land on?
Answer ......
(1)
(b)The probabilities of three events have been marked on the probability scale below.
A: The spinner lands on red.
B: The spinner lands on white.
C: The spinner does not land on yellow.
Label each arrow with a letter to show which event it represents.
(3)
5.Danny has two fair spinners.
Spinner A has four equal sections, two are red, one is yellow and one is green.
Spinner B has six equal sections, three are red, one is yellow and two are green.
Danny spins each spinner once.
(a)Which colour is Spinner A most likely to land on?
Answer ......
(1)
(b)Which spinner is more likely to land on yellow, Spinner A or Spinner B?
Give a reason for your answer.
...... …………………………………………………………………………
...... …………………………………………………………………………
(1)
(c)What is the probability that Spinner A lands on green?
Answer ......
(1)
(d)The probabilities of three events have been marked on the probability scale below.
R: Spinner B lands on red
Y: Spinner B lands on yellow
G: Spinner B lands on green
Label each arrow with a letter to show which event it represents.
(2)
6.A game involves choosing tiles from a bag.
There are six tiles in the bag, as shown.
Chris chooses two tiles at random from the bag.
(a)List all the possible outcomes of choosing two tiles.
...... …………………………………………………………………………
...... …………………………………………………………………………
(3)
(b)What is the probability that they have different letters?
...... …………………………………………………………………………
Answer ......
(2)
7.(a)There are four socks in a drawer.
(i)Two socks are chosen at random.
One possible choice is A and B.
Write down the other five possible choices.
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......
(ii)Two of the socks in the drawer are white and two are black.
If two of these four socks are chosen at random, what is the probability that a black pair will be chosen?
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......
(3)
(b)Another drawer contains red socks and green socks.
The probability of choosing a red pair is 0.33.
What is the probability that a red pair will not be chosen?
......
......
(1)
Answers - Topic 1 – Homework on Probability scale and listing outcomes
1.B, C, AB2
Any 1 correct B1
[2]
2.Note: Probability - Accept fraction, decimal or percentage. Do not accept ratio.
eg 1 out of 3 or 1 in 3 penalise once on whole paper.
B A CB3
B1 for each correct label
[3]
3.B A CB3
B1 for each correct label
[3]
4.(a)RedB1
(b)B, A, CB3
Fully correct. B1 each correct
Allow W R N or W R Y
[4]
5.(a)RedB1
(b)A: ‘1 out of 4’ is more than ‘1 out of 6’B1
(Need not use probabilities).
‘A’ with valid reason
Accept: It has less colours
Identifying 4 sections for A and 6 for B
Comparing sizes of angles.
(c)or 0.25 or 25%B1
(d)Y G RB2
1 (or 2) correct B1
[5]
6.(a)AXXATAEAXAB3 -1ee
ATXTTXEXXX
AEXETEETXT
(AX)XX(TX)(EX)XE
(b)numerator A1ft
denominator A1ft
[5]
7.(a)(i)ACBCCDB1
ADBD
Ignore any repeats or permutations
(ii)Use of 6 as a denominatorM1
answer: 1/6 or 0.16, 0.17A1
M1 only: 1:6:1 in 6, 16%, 17%2/4 × 1/3 M1
No follow through for M or A= 2/12 A1
(b)0.67B1
0.66 scores B0 2/3 scores B0 67% B0
[4]
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