# Exam-Style Question on Probability

## A mathematics exam-style question with a worked solution that can be revealed gradually

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Question id: 226. This question is similar to one that appeared on a GCSE Higher paper (specimen) for 2017. The use of a calculator is allowed.

A bag contains balls that are red, blue, green or yellow.

• The number of red balls is $$x-3$$.
• The number of blue balls is $$2x$$.
• The number of green balls is $$7$$.
• The number of yellow balls is $$5x$$.

A counter is chosen at random. The probability it is green is $$\frac{7}{52}$$

Work out the probability it is red.

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If you need more practice with basic probability questions try the self-checking interactive exercises called Probability.

The exam-style questions appearing on this site are based on those set in previous examinations (or sample assessment papers for future examinations) by the major examination boards. The wording, diagrams and figures used in these questions have been changed from the originals so that students can have fresh, relevant problem solving practice even if they have previously worked through the related exam paper.

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