Probability | OCR GCSE Higher Maths | 40 Worked Examples (J560)

Forty fully worked probability questions for OCR GCSE (9-1) Mathematics Higher tier (J560), scoped precisely to spec strand OCR 11 (11.01 and 11.02). Covers the whole topic: the probability scale, relative frequency and its convergence to theoretical probability, expected number of outcomes, sample spaces and systematic listing, the product rule for counting, frequency trees, two-way tables, Venn diagrams, the addition law, tree diagrams with and without replacement, and conditional probability worked from first principles. Questions ramp from single-event drills through the standard exam styles to challenging synoptic problems, including forming and solving a quadratic from a without-replacement probability, testing independence, and an expected-value decision. Every question has a clear diagram where one helps (TikZ trees, Venn diagrams and sample-space grids), and every solution is broken down one atomic step at a time with a plain-English reason on each line. Built specifically for OCR: it uses OCR’s own lower-case p() notation written in words (p(A and B), p(A or B), p(A given B)), it avoids the intersection, union and complement set symbols that OCR does not use at GCSE, it reflects the no-formula-sheet rule with a ‘know these by heart’ toolkit box, and it uses the OCR M/A/B/SC mark-code set with the authentic M3/M2/M1 cascade and an SC note (no Edexcel ‘P’ mark). Ideal for revision, homework or cover work. 30 pages.