Question

Four couples at a party play a game. They decide to play in teams of two and select the teams randomly. All eight people write their names on slips of paper. The slips are mixed, then drawn two at a time. How likely is it that every person will be teamed with someone other than who he or she came with? Run five trials using the random digits below. Use the digits 0 and 1 for the first couple, 2 and 3 for the second couple, etc. Trial 1 57 07 26 25 91 24 03 37 14 37 15 Trial 2 38 64 02 28 86 57 79 43 40 13 05 Trial 3 24 48 72 64 01 09 11 76 75 48 30 Trial 4 45 04 41 05 60 98 53 82 56 99 72 Trial 5 39 25 54 98 87 18 98 12 01 76 08 Based on the simulation, it is about 1% likely.

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