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30 Jun
2020

Helen and David are playing a game by putting chips

Category:ACADEMICIAN

SOLUTION AT Australian Expert Writers

Helen and David are playing a game by putting chips in two piles (each player has twopiles P1 and P2), respectively. Helen has 6 chips and David has 4 chips. Each playerplaces his/her chips in his/her two piles, then compare the number of chips in his/hertwo piles with that of the other player’s two piles. Note that once a chip is placed in onepile it cannot be moved to another pile. There are four comparisons including Helen’sP1 vs David’s P1, Helen’s P1 vs David’s P2, Helen’s P2 vs David’s P1, and Helen’s P2vs David’s P2. For each comparison, the player with more chips in the pile will score 1point (the opponent will lose 1 point). If the number of chips is the same in the two piles,then nobody will score any points from this comparison. The final score of the game isthe sum score over the four comparisons. For example, if Helen puts 5 and 1 chips in herP1 and P2, David puts 3 and 1 chips in his P1 and P2, respectively. Then Helen will get1 (5 vs 3) + 1 (5 vs 1) – 1 (1 vs 3) + 0 (1 vs 1) = 1 as her final score, and David will gethis final score of -1.

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