Unit 12 · Multi-Step Conditional Reasoning

Darren vs Monaro — Whose Claim Is Correct?

Lesson 13 of 16

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Darren and Monaro have each won 3 matches and are about to play each other. Alyssa says at least one will qualify (need 4 wins from 5). Emily says they can't both qualify. Only one of them is right — and the key is tracing what happens after their match, then checking whether the loser can still reach 4 wins.

Chapters

0:00Introduction
0:20The Question
1:11The Head-to-Head Match
1:29Evaluating Alyssa's Claim
1:54Evaluating Emily's Claim
2:26Exam Strategy – Beware of Absolutes
2:53Final Answer Selection

Question

| In the first round of a tennis competition every player plays 5 matches.

To qualify for the second round a player must win at least 4 of their matches.

Darren and Monaro have both won all of their first 3 matches. They are about to play each other.

There are no draws in tennis.

Alyssa: "At least one of Darren and Monaro will qualify for the second round."

Emily: "Darren and Monaro can't both qualify for the second round."

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

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