Unit 12 · Multi-Step Conditional Reasoning

School Play — Find the Impossible Outcome

Lesson 22 of 30

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A school play has three conditional rules: ticket sales determine whether it goes ahead, working hard determines whether it succeeds, and success determines whether there will ever be a next play. Which outcome is logically impossible?

Chapters

0:00Introduction
0:22Question
1:10Strategy
2:06Step 1: Write the four rules as arrows
2:54Step 2: Build the chain that rules out Option D
3:47Step 3: Confirm A, B, C are all possible
4:53Correct answer

Question

If we don’t sell three quarters of the tickets then the school play will be cancelled.

If the play goes ahead and we make it a success, then we might just be able to convince the principal to let us put on another play next summer. It won’t be a success, though, if people don’t work hard and learn their lines.

If the play is not a success, then it will be the last play we are allowed to do.

Which one of the following outcomes is not possible?

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