Page 409 - NUMINO_WB_6B
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187-P3-1

A Fair Sharing

Kate and Ricky bet eight marbles each to play a game with the following rules.
Rules

Kate earns 10 points when an odd number is rolled.
Ricky earns 10 points when an even number is rolled.
The first person to earn 30 points takes all 16 marbles.
The game stopped after Kate earned 20 points and Ricky earned 0 point. How
can they divide 16 marbles fairly?

Step 1. Write all the outcomes if the game continued and the die is rolled five
times.

First Second Third Fourth Fifth Kate won
Odd Even Odd Odd Odd Kate won
Even
Even Even Kate won
Odd Ricky won
Odd Even
Kate won
Odd Ricky won
Even

Step 2. From eight different outcomes, how many outcomes are there in which
Kate wins and Ricky wins?

Step 3. How can they divide 16 marbles fairly?
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