aefenglommung (aefenglommung) wrote,

Recreational Math

Hearts is a four-handed game in which points are awarding for capturing certain cards in a trick. One point is given for each of the 13 Hearts and 13 points is given for capturing the Queen of Spades. There are thus 26 points in a hand; however, if one player captures all the point cards (13 Hearts plus the Queen of Spades), that player receives zero points and the other three players all get 26 points (this is called “shooting the moon”). When one player reaches 100 or more points, the game is over and the player with the lowest score wins.

That being so, what is the fewest number of hands that can be played to finish the game? What is the greatest number of hands that can be played in a complete game? What is the lowest possible winning score? What is the lowest possible losing score? What is the highest possible losing score?

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