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MATH / Matt and Ryan are playing an exciting round of Rock Paper Scissors: The…

Problem

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problem

Matt and Ryan are playing an exciting round of Rock Paper Scissors: The Collectible Card Game. Matt is convinced that Rock can beat anything, so his deck consists only of 8 Rock cards.   Ryan's deck consists of 5 Paper cards and 3 Scissors cards.  In the game, Matt randomly selects 3 cards from his deck and places them on the table.  Ryan then randomly selects 3 cards and places one on each of Matt's cards.  If Rock beats Scissors, Scissors beats Paper, and Paper beats Rock, then what's the probability that Ryan beats Matt in a landslide by choosing 3 Paper cards in a row?

level

Level 3

type

Counting & Probability

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