This is a game for two people. Taking alternate turns, choose a whole number from 1 to 8. Keep a running total. (For example, if you pick 2 and your opponent picks 6, the total is now 8. Then maybe you pick 5, so now that total is 13, and so on.) The object of the game is to make the score exactly 64 on your turn. (If it is your turn and the running total at that point is 62, you would say 2, making the score 64, and you would be the winner.) You are going to choose the first number. What number should you pick to guarantee a win for yourself, and what strategy should you follow?
This is a game for two people. Taking alternate turns, choose a whole number from 1 to 8. Keep a running total. (For example, if you pick 2 and your opponent picks 6, the total is now 8. Then maybe you pick 5, so now that total is 13, and so on.) The object of the game is to make the score exactly 64 on your turn. (If it is your turn and the running total at that point is 62, you would say 2, making the score 64, and you would be the winner.) You are going to choose the first number. What number should you pick to guarantee a win for yourself, and what strategy should you follow?
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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This is a game for two people. Taking alternate turns, choose a whole number from 1 to 8. Keep a running total. (For example, if you pick 2 and your opponent picks 6, the total is now 8. Then maybe you pick 5, so now that total is 13, and so on.) The object of the game is to make the score exactly 64 on your turn. (If it is your turn and the running total at that point is 62, you would say 2, making the score 64, and you would be the winner.) You are going to choose the first number. What number should you pick to guarantee a win for yourself, and what strategy should you follow?
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