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4MA1/1FR Jun 2023, Question 2: Basic Probability

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

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The question, in short

Use a six-section spinner (3 red, 2 blue, 1 yellow) to describe yellow's likelihood, mark green's probability on a scale, and fill 3 blank cards among 4, 5, 4, 1, 7 so picking an odd number has probability 1/2.

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

Part (a) · 1 mark

Choose one word from the given likelihood box that describes the chance the spinner stops on yellow.

  1. 1There is 1 yellow section out of 6 total sections.
  2. 2This is a small chance, so the word that describes the likelihood is unlikely.

Answerunlikely

Part (b) · 1 mark

Place a cross on the probability scale at the position representing the chance of landing on green.

  1. 1There are no green sections on the spinner.
  2. 2The probability of landing on green is 0.
  3. 3Mark a cross at 0 on the probability scale.

Answer× at 0

Part (c) · 1 mark

Write numbers on the three blank cards so that the probability of randomly selecting an odd number is 1/2.

  1. 1There are 5 numbered cards: 4, 5, 4, 1, 7. Among these, the odd numbers are 5, 1, 7 (3 odds), and the evens are 4, 4 (2 evens).
  2. 2We add 3 blank cards. We want the total probability of picking an odd number to be 1/2.
  3. 3So exactly half of the 8 cards must have odd numbers.
  4. 4Total odd-numbered cards needed: 4.
  5. 5Currently there are 3 odd-numbered cards, so we need to make 1 of the blank cards odd.
  6. 6The other 2 blank cards must be even.
  7. 7Write 1 odd number and 2 even numbers on the blank cards.

Answer1 odd number and 2 even numbers

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