Unit 12 · Multi-Step Conditional Reasoning

School Band Chain — Find the Impossible Outcome

Lesson 25 of 30

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Sam needs to impress the music teacher to get into the band. Sara needs Sam in the band to have any chance of persuading Rhiannon to attend. Sam doesn't practice hard enough. Which scenario is completely impossible?

Chapters

0:00Introduction
0:24Question
1:21Strategy
2:19Step 1: Extract the two necessary-condition rules
3:03Step 2: Chain the two rules
3:46Step 3: Test each option
4:49Correct answer

Question

Sara wants to persuade her cousin Rhiannon to come to the school play. Her only chance of persuading her is if Sara's brother, Sam, is playing in the school band. The problem is, it's very hard to get accepted into the band, since the standard is very high. Even some very talented musicians have been turned away. You need to really impress the music teacher at audition to stand a chance. Sam does not practice hard enough to get to that kind of level.

If the above information is correct, which one of the following is not possible?

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