Unit 6 · Identifying Sufficient Information

Colour Vote — One Fact Decides the Winner

Lesson 12 of 12

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About this lesson

Sufficient information questions can involve voting systems, not just totals. The trick is the same: which single fact pins down the outcome completely — with no other possibility remaining?

Chapters

0:00Introduction
0:24The Question
1:10Strategy
1:35Step 1: Map all valid voting pairs
1:56Step 2: Apply Option A — no one voted R and G together
2:24Correct answer

Question

Zara’s class wanted to decide what colour to paint their classroom. They decided to have a vote. Students could vote to change it to red, yellow or green. Everyone had to cast two votes, but they could not vote for the same colour twice. The colour would only be changed if everyone voted for the same colour; if this did not happen the room would be left unpainted. Every colour got at least one vote.

Knowing one of the following would allow us to know the result of the vote. Which one is it?

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