2 dice puzzle

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Question: You are given 2 dice. Both are fair. One of the dice has no numbers printed on it. You have to label the unmarked dice such that when both the dice are thrown, the sum on the faces is evenly distributed between 1 and 12. Solution: Three 0s and three 6s.           Well imagine case of 2 normal dice. The sums will be between 2-12 when you throw them. Also 2 will come less times ( 1 + 1) while 7 would come more times ( 4 + 3 , 3 + 4, 5 + 2, 2+5), therefore this is not even distribution. You have to make sure that the probability of each number between 1-12 is equal. Having 3 faces 0 and 3 faces 6 does that. Calculate by yourself POST YOUR OPINION IF YOU HAVE BETTER SOLUTION

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Question:
You are given 2 dice. Both are fair. One of the dice has no numbers printed on it. You have to label the unmarked dice such that when both the dice are thrown, the sum on the faces is evenly distributed between 1 and 12.



Solution:
Three 0s and three 6s.

          Well imagine case of 2 normal dice. The sums will be between 2-12 when you throw them. Also 2 will come less times ( 1 + 1) while 7 would come more times ( 4 + 3 , 3 + 4, 5 + 2, 2+5), therefore this is not even distribution.

You have to make sure that the probability of each number between 1-12 is equal. Having 3 faces 0 and 3 faces 6 does that. Calculate by yourself

POST YOUR OPINION IF YOU HAVE BETTER SOLUTION