Pearson Edexcel GCSE (9-1) · Mathematics (1MA1)

Probability basics and expected outcomes: Practice Questions

5 multiple-choice questions marked as you go, and 4 written questions with worked solutions. All on Probability basics and expected outcomes.

9 questions18 marksFree, no account

Question 1

1 mark

A fair four-sided spinner is labelled \(1, 2, 3,\) and \(4\).
If the spinner is spun \(200\) times, how many times would you expect it to land on the number \(3\)?<\/p>

Question 2

1 mark

Two fair six-sided dice are rolled and their scores are added together.
What is the probability that the total score is exactly \(10\)? <\/p>

Question 3

1 mark

A box contains \(5\) red pens and \(3\) blue pens.
A pen is taken at random, the colour is recorded, and it is not replaced.
A second pen is then taken at random.
Calculate the probability that both pens are blue.<\/p>

Question 4

1 mark

A fair six-sided die is rolled once.
What is the probability of rolling an even number?

Question 5

1 mark

In a group of \(30\) people, \(18\) have a dog, \(12\) have a cat, and \(5\) have both a dog and a cat.
One person is chosen at random.
Given that the person has a dog, what is the probability that they also have a cat? <\/p>

Question 6

2 marks

A bag contains red, blue and green counters.
The probability of picking a red counter is \(0.3\).
The probability of picking a blue counter is \(0.4\).
Work out the probability of picking a green counter.

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Question 7

3 marks

A bag contains only red, blue, and yellow counters.
The probability of picking a red counter is \( 0.35 \).
The probability of picking a blue counter is \( 0.2 \).
Calculate the probability of picking a yellow counter.

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Question 8

5 marks

A bag contains 5 red balls and 3 blue balls. Two balls are taken at random from the bag without replacement.
Calculate the probability that the two balls are of different colours.

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Question 9

3 marks

A company manufactures light bulbs and tests a sample of them for defects. The probability that a bulb is defective is \(0.04\).
(a) A worker picks two bulbs at random from the production line. Complete a tree diagram to show all possible outcomes and their probabilities.
(b) Calculate the probability that at least one of the two bulbs picked is defective.

Write your answer out first, then check it against the worked solution.

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