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Using arrow diagrams If 7 dice are rolled, and explain why must two at least be the same value?

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Because dice is six sided, so first six dice if all get numbers 1-6 in first 6 role , there is no number left for outcome of 7th dice to  be different than the 1-6
  If first six dices show the same number on at least 2 dice, then  criteria for 2 die come up with minimum twice the same number is met.