Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Handling Data 5
19 practice questions
Practice questions
11–19 of 19
Question 11
4 marks · Normal
Answer and see the solution →A bag contains 3 yellow marbles and 2 green marbles. One marble is picked at random, replaced, and then another is picked. Answer the following:
(a)[1 mark]Write down the probability of picking a yellow marble both times.
(b)[1 mark]Write down the probability of picking a green marble first and a yellow marble second.
(c)[2 marks]Find the probability that the two marbles are of different colours.
Question 12
4 marks · Normal
Answer and see the solution →A machine produces three types of screws: Small (S), Medium (M), and Large (L). The probability that a screw is small is 0.2, medium is 0.5, and large is 0.3.
Complete the tree diagram table below showing the probabilities for producing two screws, one after the other, with replacement.
Probabilities for two screws First screw Second screw Probability S S S M S L M S M M M L L S L M L L Question 13
2 marks · Normal
Answer and see the solution →A fair die is thrown twice. What is the probability of getting at least one six in the two throws?
Question 14
3 marks · Normal
Answer and see the solution →Two cards are selected randomly, with replacement, from a deck of 52 playing cards. What is the probability that both cards are aces?
Question 15
3 marks · Normal
Answer and see the solution →Emma spins a spinner twice, each time with probability 1/4 of landing on red and 3/4 of landing on blue. She draws a tree diagram to represent this. Explain, with reasoning, why the total probability for all possible outcomes is 1.
Question 16
2 marks · Hard
Answer and see the solution →A bag contains 5 blue counters and 3 red counters. Two counters are picked from the bag one after the other, without replacement. What is the probability that both counters picked are red?
Question 17
2 marks · Hard
Answer and see the solution →The table shows the probability that each branch is followed on a probability tree diagram. | First Event | Probability | |:-----------:|:----------:| | Heads | 0.4 | | Tails | 0.6 |
What does the sum of the probabilities on the branches from any single event add up to in a tree diagram? Explain briefly.
Question 18
4 marks · Hard
Answer and see the solution →A box contains 3 orange balls and 2 purple balls. A ball is picked at random, not replaced, then a second ball is picked at random.
Calculate the probability that: (a) Both balls are orange (b) The two balls picked are different colours
(a)[2 marks]Calculate the probability that both balls are orange.
(b)[2 marks]Calculate the probability that the two balls are different colours.
Question 19
4 marks · Hard
Answer and see the solution →Maria chooses a marble from bag X and a marble from bag Y. In bag X there are 4 red and 6 blue marbles. In bag Y there are 3 red and 5 blue marbles.
She claims: 'Picking a blue marble from bag X and a red marble from bag Y is independent from picking a red marble from bag X and a blue marble from bag Y.' Is Maria correct? Give reasons for your answer.