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What are the odds?
6 dice thrown once 1 combo 279,936:1-- thrown again with 5 of 6 exactly the same -- what are the chances/odds
2 Answers
- ♣ K-Dub ♣Lv 61 decade agoFavorite Answer
I assume the dice are different - that is, each die is a different color, and that a red 6 is different from a blue 6, etc. If the dice are considered to be identical, then the odds of a particular roll will vary.
First, 279936 = 6^7, so this would be the odds with 7 dice, not 6. The odds for 6 dice is 6^6 = 46,656 : 1.
There are 30 combinations of dice that will match exactly 5 out of 6 with a given roll - pick the color of the different one (6 ways), and pick one of the five different numbers.
So the odds are, given the first roll,
30 / 46,656 ≈ 0.0643%
that the second roll matches the first in exactly five out of six dice. That is to say, it is not likely.
Hope this helps.
♣ ♣
- dewaldLv 45 years ago
no, in view that whilst you subtract an unusual quantity from one more unusual quantity, what you particularly have got to appear at are the values of each numbers, in view that 2 negatives (the subtraction and the bad importance of the moment quantity) cancel each and every different out to make a constructive, what you're particularly doing is including the moment importance to the primary valuse, so if the moment importance is bigger than the primary importance, you'll get a constructive quantity. Take a couple of examples: -four - -three = -four + three = -one million and -four - -nine = -four + nine = five (aka +five) however thats a given, you must understand that approximately the five