These questions are the same format as previous GCSE exams. Probability – Mutually Exclusive & Exhaustive – Higher – GCSE Questions These questions are the same format as previous GCSE exams. COPY means they use the exact same numbers as the original GCSE question. Otherwise, they are clone questions using different numbers. The worksheets are provided in a variety of sizes.

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GCSE GCSE Edexcel Higher: June 2017 Paper 3, Q3 The table shows some information about the shoe sizes of 27 women. 1 The table shows some information about the shoe sizes of 27 women. Shoe Size Number of women 4 6 7 9 8 5 Shoe Size Number of women 4 6 7 9 8 5 (a) Find the median shoe size. (a) Find the median shoe size. (1) (1) 4 of the 27 women have a dress size of 10 Mike says that if you choose at random one of the 27 women, the probability that she has either a dress size of 10 or a shoe size of 7 is 13 27 because 4 of the 27 women have a dress size of 10 Mike says that if you choose at random one of the 27 women, the probability that she has either a dress size of 10 or a shoe size of 7 is 13 27 because 4 27 + 9 27 = 13 27 4 27 + 9 27 = 13 27 (b) Is Mike correct? You must give a reason for your answer. (b) Is Mike correct? You must give a reason for your answer. (1) (1) (Total for Question 1 is 2 marks) (Total for Question 1 is 2 marks)

GCSE GCSE Edexcel Higher: June 2018 Paper 3, Q6 There are some buttons in a bag. The counters are yellow, or red, or blue, or green. Bridgette is going to take at random a button from the bag. The table shows each of the probabilities that the button will be blue or green. There are 21 blue buttons in the bag. The probability that the button Bridgette takes will be yellow is three times the probability that the counter will be red. (a) Work out the number of yellow counters in the bag. 1 There are some buttons in a bag. The counters are yellow, or red, or blue, or green. Bridgette is going to take at random a button from the bag. The table shows each of the probabilities that the button will be blue or green. There are 21 blue buttons in the bag. The probability that the button Bridgette takes will be yellow is three times the probability that the counter will be red. (a) Work out the number of yellow counters in the bag. Colour yellow red blue green Probability 0.35 0.45 Colour yellow red blue green Probability 0.35 0.45 (4) (4) A cube is going to be taken at random from a bag of cubes. The probability that the cube will be black is 0.5 There must be an even number of cubes in the box. (b) Explain why. A cube is going to be taken at random from a bag of cubes. The probability that the cube will be black is 0.5 There must be an even number of cubes in the box. (b) Explain why. (1) (1) (Total for Question 1 is 5 marks) (Total for Question 1 is 5 marks)

GCSE Edexcel Higher: June 2017 Paper 3, Q3 4 27 + 9 27 = 13 27 The table shows some information about the shoe sizes of 27 women. Shoe Size Number of women 4 6 7 9 8 5 (a) Find the median shoe size. (1) 4 of the 27 women have a dress size of 10 Mike says that if you choose at random one of the 27 women, the probability that she has either a dress size of 10 or a shoe size of 7 is 13 27 because 4 27 + 9 27 = 13 27 (b) Is Mike correct? You must give a reason for your answer. (1) (Total for Question 1 is 2 marks)

GCSE Edexcel Higher: June 2018 Paper 3, Q6 1 There are some buttons in a bag. The counters are yellow, or red, or blue, or green. Bridgette is going to take at random a button from the bag. The table shows each of the probabilities that the button will be blue or green. There are 21 blue buttons in the bag. The probability that the button Bridgette takes will be yellow is three times the probability that the counter will be red. (a) Work out the number of yellow counters in the bag. Colour yellow red blue green Probability 0.35 0.45 (4) A cube is going to be taken at random from a bag of cubes. The probability that the cube will be black is 0.5 There must be an even number of cubes in the box. (b) Explain why. (1) (Total for Question 1 is 5 marks)

No, he is not correct. Shoe size and dress GCSE Edexcel Higher: June 2017 Paper 3, Q3 1 The table shows some information about the shoe sizes of 27 women. Shoe Size Number of women 4 6 7 9 8 5 6 13 14th (a) Find the median shoe size. 27+1 2 = 14th piece of data 7 (1) 4 of the 27 women have a dress size of 10 Mike says that if you choose at random one of the 27 women, the probability that she has either a dress size of 10 or a shoe size of 7 is 13 27 because 4 27 + 9 27 = 13 27 (b) Is Mike correct? You must give a reason for your answer. No, he is not correct. Shoe size and dress size are not mutually exclusive, you can have both. (1) (Total for Question 1 is 2 marks)

GCSE Edexcel Higher: June 2018 Paper 3, Q6 1 There are some buttons in a bag. The counters are yellow, or red, or blue, or green. Bridgette is going to take at random a button from the bag. The table shows each of the probabilities that the button will be blue or green. There are 21 blue buttons in the bag. The probability that the button Bridgette takes will be yellow is three times the probability that the counter will be red. (a) Work out the number of yellow counters in the bag. Colour yellow red blue green Probability 0.35 0.45 0.15 0.05 =0.8 P(Y or R) = 1 – 0.8 = 0.2 0.2 ÷ 4 = 0.05 Total buttons: 21 ÷ 0.35 = 60 buttons Yellow buttons: 60 × 0.15 = 9 buttons (4) A cube is going to be taken at random from a bag of cubes. The probability that the cube will be black is 0.5 There must be an even number of cubes in the box. (b) Explain why. If there are an odd number of black cubes, 2 x odd = even. If there are an even number of black cubes, 2 x even = even (1) (Total for Question 1 is 5 marks)

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