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IGCSE Math a6.3 ProbabilityTopic Practice

6.3 Probability

Edexcel IGCSE Math a 6.3 Probability question practice helps you revise this syllabus point with the course map in view. Use this page to focus on one topic, check the style of questions available, and connect each attempt back to the knowledge area it is testing.

EduNinja keeps Math a practice aligned to Edexcel, so you can move from topic review into exam-style question bank work without losing the syllabus structure. Start with a small set, mark the weak steps, then return to nearby topic links when a definition, graph, calculation, or explanation needs repair.

Question 1

The probability that a spinner will land on blue is 0.4
Rayyan is going to spin the spinner 280 times.
Work out an estimate for the number of times the spinner will land on blue.

Question 1(c)

[Maximum number: 2]

The numbers from 1 to 14 are shown in the Venn diagram.

Question image

Find the probability that this number is in set A but is not in set B.
(a) List the members of the set ABA \cap B
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Question 2

Here is a biased spinner.

Question image

The table gives information about the probability that, when the spinner is spun once, it will land on each number.

Table

Alexis is going to spin the spinner 400 times.
Work out an estimate for the number of times the spinner will land on an odd number.

Question 2

Each time John plays a game, the probability that he wins the game is 0.65
John is going to play the game 300 times.
Work out an estimate for the number of games that John wins.

Question 2

Toy cars are made in a factory.
The toy cars are made for 15 hours each day.
5 toy cars are made every 12 seconds.
For the toy cars made each day, the probability of a toy car being faulty is 0.002
Work out an estimate of the number of faulty toy cars that are made each day.

Question 2

[Maximum number: 4]

Here is a fair 6-sided spinner.

Question image

The spinner is spun once.

Question 2(a)

(a)

On which number is the spinner least likely to land?

[ 1 ]

Question 2(b)

(b)

On the probability scale below, mark with a cross (x) the probability that the spinner will land on a number less than 5

Question image
[ 1 ]

Question 2(c)

(c)

On the probability scale below, mark with a cross (x) the probability that the spinner will land on a 3

Question image
[ 1 ]

Question 2(d)

(d)

On the probability scale below, mark with a cross (x) the probability that the spinner will land on a 6

Question image
[ 1 ]

Question 4

[Maximum number: 5]

Here is a biased 5-sided spinner.
When the spinner is spun, it can land on blue or on green or on purple or on red or on yellow.

Question image

The table gives information about the probability of the spinner landing on each colour.

Table

Sophie spins the spinner once.

Question 4(a)

(a)

Work out the probability that the spinner lands on blue or on green or on purple.

Max spins the spinner 350 times.

[ 1 ]

Question 4(b)

(b)

Work out an estimate for the number of times the spinner lands on red.

[ 4 ]

Question 2

[Maximum number: 3]

Freya has four cards.
There is a number on each card.

Question image

Freya is going to pick at random one of these cards.

Question 2(a)

(a)

Circle the word in the box below that best describes the likelihood that Freya will pick a card with the number 5 on it.

Table
[ 1 ]

Question 2(b)

(b)

On the probability scale below, mark with a cross ( x ) the probability that Freya will pick a card with a number less than 6 on it.

Question image

Ishani has six cards each with a number on it.
Four of these numbers are shown below.
When she picks at random one of the six cards, the probability that she picks a card with an even number on it is 12\frac{1}{2}

[ 1 ]

Question 2(c)

(c)

Write a number on each of the blank cards to show one possible set of six cards that Ishani could have.

Question image
[ 1 ]

Question 4(c)

[Maximum number: 2]

The table shows information about the weights, in kilograms, of 40 babies.

Table

Find the probability that this baby has a weight of more than 5 kg .

Question 6

Question 6(a)

(a)

Work out the probability that the spinner will land on orange.

Grace spins the arrow on the spinner 150 times.

[ 3 ]

Question 6(b)

(b)

Work out an estimate for the number of times the spinner lands on blue.

6 Grace has a biased 5-sided spinner.
![](https://cdn.mathpix.com/cropped/1d540d52-ddba-43ad-ac55-3f8cf1d0e7a7-07.jpg?height=33&width=576&top_left_y=230&top_left_x=251&polygon=555,1,553,3,553,8,549,12,546,12,542,17,539,17,537,14,530,14,528,12,526,12,523,10,514,10,512,12,510,12,507,10,491,10,489,8,480,8,478,10,462,10,459,12,455,12,450,8,448,8,446,5,443,8,425,8,423,10,421,10,416,5,414,5,411,8,409,5,407,8,405,8,402,10,395,10,393,8,389,8,386,10,384,8,366,8,363,5,352,5,350,8,348,5,318,5,316,8,309,8,306,5,288,5,286,8,279,8,277,10,270,10,268,8,236,8,233,5,226,5,224,8,172,8,169,10,162,10,160,8,124,8,121,5,110,5,108,3,96,3,94,5,92,5,89,3,78,3,76,5,73,3,21,3,19,5,16,3,9,3,7,5,5,5,0,10,0,26,3,28,35,28,37,30,39,30,41,28,73,28,76,30,78,28,162,28,165,30,167,30,169,28,199,28,201,30,204,30,206,28,236,28,238,30,240,30,242,28,290,28,293,30,295,30,297,28,309,28,311,30,313,30,316,28,473,28,475,30,480,30,482,28,491,28,494,30,498,30,501,28,510,28,512,30,519,30,521,28,546,28,549,30,555,30,558,28,565,28,569,33,571,33,576,28,576,21,574,19,574,10,571,8,569,8,565,3,558,3)

6 Grace has a biased 5-sided spinner. ![](https://cdn.mathpix.com/cropped/1d540d52-ddba-43ad-ac55-3f8cf1d0e7a7-07.jpg?height=33&width=576&top_left_y=230&top_left_x=251&polygon=555,1,553,3,553,8,549,12,546,12,542,17,539,17,537,14,530,14,528,12,526,12,523,10,514,10,512,12,510,12,507,10,491,10,489,8,480,8,478,10,462,10,459,12,455,12,450,8,448,8,446,5,443,8,425,8,423,10,421,10,416,5,414,5,411,8,409,5,407,8,405,8,402,10,395,10,393,8,389,8,386,10,384,8,366,8,363,5,352,5,350,8,348,5,318,5,316,8,309,8,306,5,288,5,286,8,279,8,277,10,270,10,268,8,236,8,233,5,226,5,224,8,172,8,169,10,162,10,160,8,124,8,121,5,110,5,108,3,96,3,94,5,92,5,89,3,78,3,76,5,73,3,21,3,19,5,16,3,9,3,7,5,5,5,0,10,0,26,3,28,35,28,37,30,39,30,41,28,73,28,76,30,78,28,162,28,165,30,167,30,169,28,199,28,201,30,204,30,206,28,236,28,238,30,240,30,242,28,290,28,293,30,295,30,297,28,309,28,311,30,313,30,316,28,473,28,475,30,480,30,482,28,491,28,494,30,498,30,501,28,510,28,512,30,519,30,521,28,546,28,549,30,555,30,558,28,565,28,569,33,571,33,576,28,576,21,574,19,574,10,571,8,569,8,565,3,558,3)

Grace is going to spin the arrow on the spinner once.

The table below gives the probabilities that the spinner will land on red or on blue or on green. spinner will land on pink.
(a) Work out the probability that the spinner will land on orange.

Grace spins the arrow on the spinner 150 times.
(b) Work out an estimate for the number of times the spinner lands on blue.
742y<67-4 \leqslant 2 y<6
y is an integer.

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