Unit 12 · Multi-Step Conditional Reasoning

Sports Team — Flip Rule 1, Then Rule 2

Lesson 5 of 16

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Two conditional rules, one given fact, and a chain of two deductions. This question is the cleanest example of multi-step conditional reasoning in OC TS: the first step requires using the CONTRAPOSITIVE of a rule (flipping and negating it), and the second step simply applies the second rule directly. Get those two moves in order and the answer is immediate.

Chapters

0:00Introduction
0:23The Question
0:59Strategy
1:40Step 1: Write the two rules
2:15Step 2: Bilal out → Arthur must play
2:40Step 3: Rule 2 → pick the option
3:19Correct answer

Question

Arthur, Bilal, Conor, and David play regularly in a sports team. The coach has just told them: “If Arthur does not play tomorrow, then Bilal will play. If Arthur does play, then Conor will play in place of David.”

So, if Bilal does not play tomorrow, which of the other three will be in the team?

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