Samiyah and DeAndre play the following game. They take turns choosing either 1, 2 or 3. When it is a player's turn he or she must choose 1, 2 or 3. As each number is chosen, it is added to the previously chosen numbers. The winner is the player whose choice brings the total to 10 or more. For example, if Samiyah moves first and chooses 3, then the total reaches 3. Then if DeAndre chooses 2, the total becomes 5. Then if Samiyah chooses 2, the total reaches 7. Then if DeAndre chooses 3 the total reaches 10 and DeAndre wins the game.

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Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
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Samiyah and DeAndre play the following game. They take turns choosing either 1, 2 or 3. When it is a
player's turn he or she must choose 1, 2 or 3. As each number is chosen, it is added to the previously chosen
numbers. The winner is the player whose choice brings the total to 10 or more.
For example, if Samiyah moves first and chooses 3, then the total reaches 3. Then if DeAndre chooses 2, the
total becomes 5. Then if Samiyah chooses 2, the total reaches 7. Then if DeAndre chooses 3 the total reaches
10 and DeAndre wins the game.
Assume that Samiyah moves first. How many strategies does DeAndre have in this game?
1)3
2)6
3)9
4) 15
5) More than 15
Transcribed Image Text:Samiyah and DeAndre play the following game. They take turns choosing either 1, 2 or 3. When it is a player's turn he or she must choose 1, 2 or 3. As each number is chosen, it is added to the previously chosen numbers. The winner is the player whose choice brings the total to 10 or more. For example, if Samiyah moves first and chooses 3, then the total reaches 3. Then if DeAndre chooses 2, the total becomes 5. Then if Samiyah chooses 2, the total reaches 7. Then if DeAndre chooses 3 the total reaches 10 and DeAndre wins the game. Assume that Samiyah moves first. How many strategies does DeAndre have in this game? 1)3 2)6 3)9 4) 15 5) More than 15
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