The Most Powerful Dice - Numberphile
Tadashi explores a special set of dice... And has a powerful lesson. More links & stuff in full description below ↓↓↓ Subscribe to Numberphile: http://bit.ly/Numberphile_Sub More dice...
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These dice are rather unusual. They are marked not like ordinary dice, 1 through 6, but in various peculiar patterns. For example, this is three everywhere. Three, three, three, three, three, three. This one has four, four, four, four and zero, zero. Okay, so four, four, four, four, zero, zero against a three everywhere And we play the following game. Two players role them against each other and whichever number comes up higher wins. In this case, this won, this lost. Had it been like this, this would have lost, this would have won. Now, we try to rank the dice. Compare the dice and see, say which is stronger, which is weaker. and here is the definition. We say that one die is stronger than the other die if that die has a higher probability of winning agains...
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These dice are rather unusual. They are marked not like ordinary dice, 1 through 6, but in various peculiar patterns. For example, this is three everywhere. Three, three, three, three, three, three. This one has four, four, four, four and zero, zero. Okay, so four, four, four, four, zero, zero against a three everywhere And we play the following game. Two players role them against each other and whichever number comes up higher wins. In this case, this won, this lost. Had it been like this, this would have lost, this would have won. Now, we try to rank the dice. Compare the dice and see, say which is stronger, which is weaker. and here is the definition. We say that one die is stronger than the other die if that die has a higher probability of winning agains...
