Edexcel IGCSE Math A Foundation 6.3 Probability Questions

Practise probability language, scales, event lists, Venn diagrams and calculations using fractions, decimals and complements.

Exam points

interpret probability words, scales and impossible or certain outcomes from simple contexts
calculate probabilities from counters, spinners, tables, Venn diagrams and sample spaces
use complements or totals to find missing probabilities, frequencies or region values

Covered syllabus points

6.3.A Probability terminology 6.3.B The probability scale 6.3.C Theoretical probability 6.3.D Probabilities from a Venn diagram 6.3.E Sample spaces and events 6.3.F Systematic outcome lists for successive events 6.3.G Probabilities from previously collected data 6.3.H Complementary events 6.3.I The addition rule of probability for mutually exclusive 6.3.J Expected frequency

[Maximum number: 3]

The diagram shows a fair 6-sided spinner.

Figure for Question 1 — Edexcel IGCSE Math A Foundation

Rami is going to spin the spinner once.

(a)

Circle the word in the box below that best describes the likelihood that the spinner will land on green.

Table for Question (a) — Edexcel IGCSE Math A Foundation

[ 1 ]

(b)

On the probability scale below, mark with a cross (X) the probability that the spinner will land on blue.

Figure for Question (b) — Edexcel IGCSE Math A Foundation

[ 1 ]

× at $\frac{1}{2}$

1

(c)

On the probability scale below, mark with a cross (X) the probability that the spinner will land on yellow.

Figure for Question (c) — Edexcel IGCSE Math A Foundation

[ 1 ]

$\times\ \text{at }0$

[Maximum number: 5]

Fred has a fair six-sided dice and a fair spinner.

Figure for Question 2 — Edexcel IGCSE Math A Foundation

Fred throws the dice once.
He spins the spinner once.
The total score is the sum of the number the dice lands on and the number the spinner lands on.

Table for Question 2 — Edexcel IGCSE Math A Foundation

(a)

Complete the table for the total scores.

Four total scores have already been entered.

[ 2 ]

Number the spinner lands on	1	2	3	4	5	6
1	2	3	4	5	6	7
2	3	4	5	6	7	8
3	4	5	6	7	8	9
4	5	6	7	8	9	10

(b)

Find the probability that the total score is 2

[ 1 ]

\frac{1}{24}

B1 oe ft table.

(c)

Find the probability that the total score is 9 or 10

[ 1 ]

\frac{3}{24}

B1 oe ft table.

(d)

Find the probability that the dice and the spinner both land on an even number.

[ 1 ]

\frac{6}{24}

B1 oe.
NB Penalise faulty notation first time only.

[Maximum number: 2]

30 children were asked whether they have a cat ( C ) or a $\operatorname{dog}(D)$
Of the 30 children
5 have both a cat and a dog
13 have a dog
11 have only a cat

(a)

One of the children is picked at random.

Find the probability that this child

[ 2 ]

(i)

has a dog,

[ 1 ]

(ii)

does not have a dog and does not have a cat.

[ 1 ]

$\frac{6}{30}$

B1 oe, ft their Venn diagram.

[Maximum number: 1]

The diagram shows a fair 6-sided spinner.

Figure for Question 4 — Edexcel IGCSE Math A Foundation

Rami is going to spin the spinner once.

Circle the word in the box below that best describes the likelihood that the spinner will land on green.

Table for Question 4 — Edexcel IGCSE Math A Foundation

[Maximum number: 1]

Fred has a fair six-sided dice and a fair spinner.

Figure for Question 5 — Edexcel IGCSE Math A Foundation

Fred throws the dice once.
He spins the spinner once.
The total score is the sum of the number the dice lands on and the number the spinner lands on.

Table for Question 5 — Edexcel IGCSE Math A Foundation

Find the probability that the total score is 2

\frac{1}{24}

B1 oe ft table.

[Maximum number: 2]

Ella has two fair spinners.
Spinner A is labelled 0,1 and 2
Spinner B is labelled 2, 3, 4 and 5

Spinner A

Spinner B

Ella is going to spin each spinner once.
Each spinner will land on a number.
Ella will get her score by multiplying these two numbers together.

Find the probability that Ella's score is less than 5

Working:
$\frac{8}{12}$

Final answer:
$\frac{8}{12}=\frac23$

M1ft for $\frac{8}{m}$ where m>8, $\frac{n}{12}$ where n<12, or 8:12 oe. A1ft oe, for example $\frac23$ , $0.66\ldots$ , or $66.66\ldots\%$ .

[Maximum number: 2]

Fred has a fair six-sided dice and a fair spinner.

Figure for Question 7 — Edexcel IGCSE Math A Foundation

Fred throws the dice once.
He spins the spinner once.
The total score is the sum of the number the dice lands on and the number the spinner lands on.

Table for Question 7 — Edexcel IGCSE Math A Foundation

Complete the table for the total scores.

Four total scores have already been entered.

Number the spinner lands on	1	2	3	4	5	6
1	2	3	4	5	6	7
2	3	4	5	6	7	8
3	4	5	6	7	8	9
4	5	6	7	8	9	10

[Maximum number: 1]

Tamsin asked some people how they prefer their eggs cooked.
They could choose scrambled or boiled or poached or fried.

The pie chart shows some information about their answers.

Figure for Question 8 — Edexcel IGCSE Math A Foundation

Write down the probability that this person chose scrambled.

$\frac{72}{360}=\frac15$

Final answer:
$\frac15$

Equivalent answers such as $\frac{6}{30}$ , $20\%$ , or 0.2 are accepted.

[Maximum number: 1]

Eight people play a computer game.
Here are their scores.
7
10
8
9
12
9
10
10

Helga has played the game many times.
She scored 9 or more in $\frac{5}{6}$ of these games.

Work out an estimate for the probability that the next time Helga plays the game she scores less than 9

[Maximum number: 1]

Fred has a fair six-sided dice and a fair spinner.

Figure for Question 10 — Edexcel IGCSE Math A Foundation

Fred throws the dice once.
He spins the spinner once.
The total score is the sum of the number the dice lands on and the number the spinner lands on.

Table for Question 10 — Edexcel IGCSE Math A Foundation

Find the probability that the total score is 9 or 10

\frac{3}{24}

B1 oe ft table.

[Maximum number: 2]

Eight people play a computer game.
Here are their scores.
7
10
8
9
12
9
10
10

Helga is going to play the game another 60 times.

Work out an estimate for the number of times she will score 9 or more in these 60 games.

60\times\frac56=50

Final answer:

NB: $\frac{50}{60}$ gains M1 A0.

All question bank results loaded

Covered syllabus points

Question 1

Question (a)

Question (b)

Question (c)

Question 2

Question (a)

Question (b)

Question (c)

Question (d)

Question 3

Question (a)

Question (i)

Question (ii)

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11