AQA GCSE Mathematics · 8300

Probability

0 of 9 reviewed · Working saved in this browser

Extreme practice · Multi-step problems within GCSE Higher. Difficulty is an editorial judgement. These questions are self-reviewed, not ranked.

AQA format & instructions

Show your working and give answers in the spaces provided. Paper 1H is non-calculator; Papers 2H and 3H permit a calculator. Diagrams are not necessarily drawn accurately.

Original topic practice. This set is not a full official paper. Written work is self-reviewed against our worked solutions.

1H · Non-calculator · 80 marks · 90 minutes
2H · Calculator · 80 marks · 90 minutes
3H · Calculator · 80 marks · 90 minutes

Official specification ↗ · Official past papers ↗

QUESTION PAPER

Mathematics · Higher TierHigher Tier · Non-calculator practice · 8300

Torus Maths original · AQA style

A bag contains 2k red counters and 3k blue counters, where k is a positive integer. Two counters are taken at random without replacement. The probability that they are the same colour is $\frac{17}{35}$ .

(a)

Find k.

[4 marks]

Answer

(b)

Three counters are now taken from the original bag without replacement. Find the probability of exactly two red counters.

[3 marks]

Answer

Question reference: aqa-gcse-extreme-06-01Report a question →

Need a nudge?Three small hints · no answer revealed