Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Handling Data 7
18 practice questions
Practice questions
1–8 of 8 · Normal
Question 1
2 marks · Normal
Answer and see the solution →A bag contains 4 red marbles and 6 blue marbles. A marble is taken at random, replaced, and then another marble is taken at random.
Work out the probability that both marbles are blue.
Question 2
3 marks · Normal
Answer and see the solution →A bag contains 3 green counters and 2 yellow counters. Two counters are taken from the bag one after the other, without replacement.
Draw a tree diagram to show all the possible outcomes. Use your diagram to calculate the probability that both counters are green.
Question 3
3 marks · Normal
Answer and see the solution →A box contains some balls. The probability that a randomly chosen ball is black is 0.2, and the probability that it is white is 0.5. The probability that it is red is unknown.
Given that the ball chosen is not black, explain how you would calculate the probability that it is white.
Question 4
4 marks · Normal
Answer and see the solution →You roll a fair six-sided die twice.
(a)[1 mark]Write down the probability of getting a 2 on the first roll and a 4 on the second roll.
(b)[2 marks]Find the probability of getting an even number on both rolls.
(c)[1 mark]Calculate the probability of getting at least one 6 in the two rolls.
Question 5
2 marks · Normal
Answer and check →A coin is biased so that the probability of getting a tail is 0.55.
Given that the coin has landed on a tail, what is the probability it will land on a tail again in the next flip? (The two flips are independent.)
Question 6
3 marks · Normal
Answer and see the solution →A box contains 5 pens: 3 blue and 2 black. Two pens are taken at random, one after the other, without replacement.
Work out the probability that both pens are black.
Question 7
4 marks · Normal
Answer and see the solution →The probability that a machine produces a defective part is 0.1. The probability that a randomly chosen part was produced by machine A is 0.6, and by machine B is 0.4. The events are independent.
A part is selected at random. The possible outcomes are that the part was produced by machine A or B, and that the part is defective or not defective.
Construct a tree diagram to show all possible outcomes and their probabilities. Complete the probability table below.
Complete the missing probabilities in the table. Write all probabilities as decimals. Produced by Defective? Probability A Yes A No B Yes B No Question 8
3 marks · Normal
Answer and see the solution →A spinner can land on red, blue, or green. The probability of red is 0.3, the probability of blue is 0.4, and the probability of green is 0.3. Two independent spins are made.
Explain, with reference to a tree diagram, why the sum of the probabilities of all the possible outcomes is equal to 1.