Unit 12 · Multi-Step Conditional Reasoning

Mr Rudd's Homework — Rules Run One Way

Lesson 6 of 16

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About this lesson

Two students, Wei and Dylan, both hear the same two rules about their teacher. Dylan uses the rules forwards and gets it right. Wei uses them backwards and gets it wrong. The important lesson here is that a conditional rule ("if A then B") only tells you what happens when A occurs — it never tells you that A is the only thing that can cause B. This mistake — reasoning backwards and assuming the cause — is one of the most common errors in OC TS.

Chapters

0:00Introduction
0:23The Question
1:03Strategy
1:58Step 1: Dylan uses the chain forwards — correct
2:31Step 2: Wei reverses the chain — wrong
3:36Correct answer

Question

Whenever Mr Rudd’s favourite team loses, it always puts him in a bad mood. And when Mr Rudd is in a bad mood, he always gives us extra homework.

Wei says: “We got extra homework last week – Mr Rudd’s team must have lost!”

Dylan says: “If they lose this week, we’re sure to get extra homework again!”

If the information in the box is true, whose reasoning is correct?

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