ProbabilityDeep Dive

Example: Student Subject Preferences

Part of Two-Way TablesGCSE Mathematics

This deep dive covers Example: Student Subject Preferences within Two-Way Tables for GCSE Mathematics. Revise Two-Way Tables in Probability for GCSE Mathematics with 12 exam-style questions and 4 flashcards. This topic appears less often, but it can still be a useful differentiator on mixed-topic papers. It is section 3 of 4 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 3 of 4

Practice

12 questions

Recall

4 flashcards

Example: Student Subject Preferences

A school surveys 100 students about their favorite subject:

Math Science English Total
Year 10 15 20 10 45
Year 11 25 15 15 55
Total 40 35 25 100

Probability Calculations:

  • P(Year 10 student) = 45/100 = 0.45
  • P(prefers Math) = 40/100 = 0.4
  • P(Year 10 and Math) = 15/100 = 0.15
  • P(prefers Math | Year 11) = 25/55 = 5/11

Keep building this topic

Read this section alongside the surrounding pages in Two-Way Tables. That gives you the full topic sequence instead of a single isolated revision point.

Practice Questions for Two-Way Tables

A two-way table shows information about 80 students. It shows whether they study French or Spanish, and whether they are in Year 10 or Year 11. The total number of Year 10 students who study French is the value found by looking at which intersection?

  • A. The Year 10 row and the Total column
  • B. The French column and the Year 10 row
  • C. The Total row and the French column
  • D. The Total row and the Total column
1 markfoundation

Explain why the denominator changes when finding conditional probability from a two-way table.

2 markshigher

Quick Recall Flashcards

What is a two-way table?
A table that shows frequencies for two categorical variables
What is a joint frequency?
The number in each cell, representing the intersection of a row and column

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