Which grade are you…..?
Probability : Foundation
Impossible
Unlikely
Even Chance
Likely
Grade G
1 Choose words from the box below that fit the following outcomes
Certain
a) A fair coin will land on tails
b) A fair dice when rolled will land on a 6
c) Schools in the UK will be closed for a year
Grade F/E
2 A bag contains the following counters
4 red
5 green
1 blue
What is the probability of picking
a) a red counter
b) a black counter
c) a blue or red counter?
Grade E
3 To win a prize the spinner must land on the grey sections. Which of the spinners would
you choose and why?
4 The table shows the probability of getting colours on a four coloured spinner
Pink
0.3
Yellow
0.2
Orange
0.1
Purple
Grade D/E
Colour
Probability
a) What is the probability of getting purple?
b) What is the probability of getting either orange or pink?
c) What is the probability of not getting yellow?
Score
1
Frequency 25
2
31
3
26
4
62
a) Estimate the probability of scoring a 5
b) Estimate the probability of getting less than 3
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5
32
6
24
Grade D/C
5 A biased dice is rolled 200 times. The table shows the outcome
Time
Less than 5 minutes
More than 5 minutes but less than 10 minutes
More than 10 minutes
Number of patients
17
18
5
a) What is the probability that a patient chosen at random will wait more than 10
minutes?
Grade D/C
6 A doctors surgery keeps a record of how long patients wait before their appointment.
b) During a week 240 patients have appointments. How many would you expect to
wait more than 5 but less than 10 minutes?
Orange
Water
0.15
Tropical
0.25
Lemon
Other
0.2
A student is three times as likely to pick orange, than lemon.
Grade C
7 The table shows the probabilities that a student will chose a certain drink
a) What is the probability that a student chooses Orange?
b) What is the probability that the student doesn’t choose Tropical?
c) What is the probability that the student chooses Tropical or Lemon?
8 Two dice are rolled and the ‘score’ is the difference between the numbers shown.
a) Copy and complete the sample space to show all possible outcomes
2
0
1
2
3
4
5
6
4
0
3
0
4
2
5
6
5
b) What is the probability of getting a score of 3?
c) What is the probability of the score being an odd number?
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Grade C
1
1
Which grade are you…..?
Probability : Foundation
Impossible
Unlikely
Even Chance
Likely
Grade G
1 Choose words from the box below that fit the following outcomes
Certain
a) A fair coin will land on tails Even chance ü
b) A fair dice when rolled will land on a 6 Unlikely ü
c) You will walk on the moon in the next 10 minutes Impossible ü
What is the probability of picking
�
�
a) a red counter �� �� � ü b) a black counter 0
c) a blue or red counter?
�
��
��
�
�
Grade F/E
2 A bag contains the following counters
4 red
5 green
1 blue
ü
ü
Grade E
3 To win a prize the spinner must land on the grey sections. Which of the spinners would
you choose and why? Spinner B (a third is greater than an quarter) üü
4 The table shows the probability of getting colours on a four coloured spinner
Pink
0.3
Yellow
0.2
Orange
0.1
Purple
0.4
Grade D/E
Colour
Probability
a) What is the probability of getting purple? 0.4 ü
b) What is the probability of getting either orange or pink? 0.4 ü
c) What is the probability of not getting yellow? 0.8 ü
Score
1
Frequency 25
2
31
3
26
a) Estimate the probability of scoring a 5
4
62
��
���
= 0.16ü
b) Estimate the probability of getting less than 3
�6
���
= 0.28ü
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5
32
6
24
Grade D/C
5 A biased dice is rolled 200 times. The table shows the outcome
Time
Less than 5 minutes
More than 5 minutes but less than 10 minutes
More than 10 minutes
Number of patients
17
18
5
a) What is the probability that a patient chosen at random will wait more than 10
�
minutes?
= 0.125 ü
��
Grade D/C
6 A doctors surgery keeps a record of how long patients wait before their appointment.
b) During a week 240 patients have appointments. How many would you expect to
wait more than 5 but less than 10 minutes? 108 people ü
Orange
0.3
Water
0.15
Tropical
0.25
Lemon
0.1
Other
0.2
A student is three times as likely to pick orange, than lemon.
Grade C
7 The table shows the probabilities that a student will chose a certain drink
a) What is the probability that a student chooses Orange? 0.3 üü
b) What is the probability that the student doesn’t choose Tropical? 0.75ü
c) What is the probability that the student chooses Tropical or Lemon? 0.35ü
1
2
3
4
5
6
1
0
1
2
3
4
5
2
1
0
1
2
3
4
3
2
1
0
1
2
3
4
3
2
1
0
1
2
5
4
3
2
1
0
1
6
5
4
3
2
1
0
b) What is the probability of getting a score of 3?
�
��
Grade C
8 Two dice are rolled and the ‘score’ is the difference between the numbers shown.
a) Copy and complete the sample space to show all possible outcomes üü
�
= � üü
��
�
c) What is the probability of the score being an odd number? �� = � üü
25 marks
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