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The race to 100 by adding 1 through 10

Two players build a running total starting from 0. On your turn you add any whole number from 1 to 10 to the current total and announce the new total. The player who announces exactly 100 wins.

Should you go first or second, and what is the winning strategy?

Your answer

This one is open-ended. Work it through, then check your reasoning against the full solution.

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