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Puzzle of the week: who wins the numbers game?

2019-09-15T15:07:54.399Z


Two players choose alternately a small, no more than two-digit number. The selected numbers are added. The winner is who exactly reaches the sum of 1000. Is there a winning strategy?



Certainly winning - who has not dreamed of it? In many cases, however, it remains a dream. Who wins a game is often a matter of luck. But is that the case with the game described here?

Katharina and Jesper do not like small numbers, the years in management have shaped them. You play a number game in which the one who wins first comes to a total of 1000.

The summands determine the two themselves - always alternately. Katharina can always choose a number from 1 to 10 - she has her own keyboard, see picture above. Jesper is allowed to dial numbers from 6 to 15 on his keyboard.

Katharina starts with the first number, Jesper chooses the second, then Katharina is back and so on. The computer adds the chosen numbers.

The game wins who chooses a number, so that the exact sum of 1000 results.

Who of the two can definitely win the game? How should he / she proceed?

Source: spiegel

All business articles on 2019-09-15

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