. Three Dice of a Kind Consider the following game: You roll six 6-sided dice d1,…,d6 and...

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Advance Math

. Three Dice of a Kind

Consider the following game: You roll six 6-sided diced1,…,d6 and you win if some number appears 3 ormore times. For example, if you roll:

(3,3,5,4,6,6)

then you lose. If you roll

(4,1,3,6,4,4)

then you win.

  1. What is the probability that you win this game?

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