# Thread: hearts on PC (microsoft)

1. Recently I completed a game of hearts on the computer (Microsoft version). The game took four hands, the absolute minimum. All four hands were moon shots. I made two and two other players each made one. As a result the fourth player went over 100 and the game ended.

Question 1: What is the probability that a hearts game will take only four hands?
Question 2: What is the probability that there will be four moon shots in a row?

2.

3. 52! (52 factorial, the number of ways to shuffle a deck of cards) is so huge, it's very difficult to work out the probabilities of card games involving the whole deck of cards, much less over 4 shuffles. For instance, no one knows what the probability of winning a hand of Solitaire is. I'd be somewhat surprised if Hearts is any better. (Sorry I can't be more help.)

4. Originally Posted by MagiMaster
52! (52 factorial, the number of ways to shuffle a deck of cards) is so huge, it's very difficult to work out the probabilities of card games involving the whole deck of cards, much less over 4 shuffles. For instance, no one knows what the probability of winning a hand of Solitaire is. I'd be somewhat surprised if Hearts is any better. (Sorry I can't be more help.)
I doubt very much that the probabilities can be calculated analytically, since there is a skill factor. I was wondering if there were any statistical studies.

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