Introduction to Probability (Edexcel IGCSE Maths A: Foundation): Exam Questions

Hanako has two fair spinners.
Spinner A is 3‑sided and can land on 1, 2 or 3
Spinner B is 4‑sided and can land on 2, 4, 6 or 8

Hanako spins each spinner once.

She adds together the number that spinner A lands on and the number that spinner B lands on to get her total score.

Complete the table to show all possible total scores.
Four total scores have been done for you.

Find the probability that

(i) Hanako’s total score is 8

(ii) Hanako’s total score is less than 7

The diagram shows a fair 6-sided spinner.

Mario spins the arrow on the spinner once.

Write down the word from the box that best describes the likelihood that the arrow will land on

(i) green

[1]

(ii) yellow

[1]

(iii) blue

[1]

In a bag there are only red bricks, blue bricks, green bricks and orange bricks.

The number of green bricks in the bag is the same as the number of orange bricks.

Jiao takes at random a brick from the bag.
The table gives the probability that Jiao takes a red brick and the probability that he takes a blue brick.

Work out the probability that Jiao takes an orange brick.

Jiao puts the brick back into the bag.
There are 91 red bricks in the bag.

Jiao is going to build a tower using all the red bricks and all the blue bricks but no other bricks.
The tower will be in the shape of a cuboid.
There will be 4 bricks in each layer of the tower.

Work out how many layers the tower will have.

There are 30 counters in a bag.

13 of the counters are purple.
11 of the counters are white.
The rest of the counters are red.

Suha takes at random a counter from the bag.

Write down the probability that the counter is purple.

Work out the probability that the counter is red.

The counter is put back into the bag.

Clive now puts 10 more counters into the bag.
When a counter is taken at random from the bag, the probability that it is white is now

How many of the 10 counters that Clive puts into the bag are white?

A biased spinner can land on green or on yellow or on brown or on pink.

The table gives the probabilities that, when the spinner is spun, it will land on green or on yellow or on brown.

Timucin spins the spinner 200 times.

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

A biased spinner has three sections each of a different colour.

The table shows the probability that, when the spinner is spun once, it will land on blue or on orange or on white.

Work out the value of

The spinner is spun 250 times.

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

There are 8 counters in a bag.

6 of these counters are orange.
The rest of the counters are purple.

Delilah takes at random a counter from the bag.

(i) On the probability scale below, mark with a cross (×) the probability that the counter is orange.

(ii) On the probability scale below, mark with a cross (×) the probability that the counter is yellow.