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4MA1/1F Jun 2022, Question 3: Basic Probability

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 3 marks

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The question, in short

Use a 0 to 1 probability scale with arrows A to D to answer probability questions about fruit in a bowl and explain why a stated probability of 1.4 is impossible.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (ai) · 1 mark

Find which arrow on the scale gives the probability of taking a pear from 3 bananas and 7 pears.

  1. 1There are 3 bananas and 7 pears, so 10 fruits in total.
  2. 2Probability of taking a pear is 7 out of 10, which is 0.7.
  3. 3On the probability scale, 0.7 is closest to arrow C.
  4. 4C

AnswerC

Part (aii) · 1 mark

Find which arrow on the scale gives the probability of taking a grape from the bowl.

  1. 1There are no grapes in the fruit bowl.
  2. 2The probability of taking a grape is 0.
  3. 3On the probability scale, 0 is marked at arrow A.
  4. 4A

AnswerA

Part (b) · 1 mark

Explain why a probability of 1.4 for taking a carrot cannot be correct.

  1. 1Emma says the probability of taking a carrot is 1.4.
  2. 2Probabilities must be between 0 and 1 inclusive.
  3. 31.4 is greater than 1, which is not possible.
  4. 4Probability cannot be more than 1

AnswerProbability cannot be more than 1

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