A box holds 3 red and 3 blue counters. Two are drawn without replacement. Given that the first is red, what is the probability that the second is red?
Admissions · original practice
TMUA practice
Counting, probability & statistics · Choose another topic
0/31 attempted · Saved in this browser
Take your time
Train by topic or sit a full two-paper mock in exam conditions.
TMUA topics & practice tests →Format, timing & official papers
The full TMUA has two papers, each with 20 multiple-choice questions in 75 minutes. Paper 1 focuses on applying mathematics; Paper 2 adds mathematical reasoning and logic. No calculator or formula booklet. No penalty for wrong answers. This is an original practice bank; the optional timer is for practice and does not simulate a full paper.
Official guidance & papers ↗Timed rounds select 10 questions from this bank, with 4 minutes per question. Your score is practice feedback, not a prediction of an official result.
Study mode · browse all 31 questions, with hints and explanations.
TMUA-style practiceMultiple choice · A–EInspired by the format · not an official paper
Question reference: tmua-new-probability-1Report a question →
Need a nudge?Three small hints · no answer revealed