## Exam-Style Question on Probability## A mathematics exam-style question with a worked solution that can be revealed gradually |

Question id: 507. This question is similar to one that appeared on a GCSE Higher paper in 2019. The use of a calculator is not allowed.

There are only \(b\) blue counters and \(y\) yellow counters in a bag.

A counter is taken at random from the bag.

The probability that the counter is yellow is \( \frac{5}{8} \).

The counter is put back in the bag.

3 more blue counters and 6 more yellow counters are put in the bag.

A counter is taken at random from the bag.

The probability that the counter is blue is \( \frac{4}{11} \).

Find the number of blue counters and the number of yellow counters that were in the bag originally.

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