Higher

Conditional probability: GCSE Maths revision

Conditional probability is “given that”. Restrict the sample space to what you now know, then find the proportion of the remaining outcomes.

Given that

A card is drawn from 52. Given it is a heart, P(king)?

There are 13 hearts including 1 king → 1/13

Try these questions

Cover the answers and have a go first. Worked solutions are underneath.

Question 1 [2 marks]

Bag: 4 red, 6 blue. One red is removed. P(second is red)?

Question 2 [2 marks]

P(A) = 0.5, P(A and B) = 0.2. P(B given A)?

Common mistakes

Answers and working

Q1. 3/9 = 1/3
Q2. 0.4

Frequently asked questions

Is this on Foundation?

Formal “given that” is Higher. Foundation still does without-replacement trees, which is the same idea.

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