answersLogoWhite

0


Best Answer

There are 36 possible combinations of unique dice rolls (where order doesn't matter, so sorted/deduped). 6 of these are potentially doubles. The total odds are 1/6 (~16.7%). This is because the probability that any of the two die matched any of the other two dice is really just the probability that a die is the same as another die, which is 1/6. Think about it this way, if you rolled two dice the probability that the first one is the same as the second one is 1/6. If you rolled a one, and then rolled a second die and it didn't come up as the first one, but then you rolled a third one you'll find that the probability that doubles occurred is the probability that the first one matches the third one, OR the second one matches the third one IIF the second one did not match the first one, but because they're independent events it's still just what's the probability that doubles occurred between the comparison rather than the set.

This does not take into account triplets being considered doubles. If the potential for triplets is considered (the probability that any two die will have the same value), this becomes a very simple problem because it deals with the likelihood that something can't occur in any form rather than the likelihood that a specific subset will occur. It's simply the probability (after sorting) that the first one is like the second one, or the second one is like the third one. When you think about that, that's really just the probability that all numbers will be different. This means we only have to care about two. The probability that the second is different is 5/6, while the probability that the third is different than both of the first two is 4/6. That makes the probability that no two are alike 5/6 by 4/6. This means that the probability that AT LEAST two are alike is 1 - (5/6 * 4/6), which is 44.444..%. It's an extremely simplified version of the birthday problem.

User Avatar

Wiki User

11y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Odds of rolling doubles with three dice?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

What are the odds of rolling 6 consecutive doubles with 2 dice?

The odds of rolling 6 out of 2 consecutive dice is 100/25.


What are the odds of rolling doubles twice in a row with a pair of dice?

1 in 12


What are the odds in favor of rolling a 7 or an 11 or doubles twice in a row with a pair of standard dice?

The odds of rolling a 7 are 1/6. The odds of rolling two in a row are 1/36. The odds of rolling an 11 are 1/18. The odds of rolling two in a row are 1/324. The odds of rolling doubles are 1/6. The odds of rolling double twice in a row are 1/36.


What are the Odds of rolling double fours in dice?

The odds of rolling any double number is 1:36


The odds for rolling 1 one with three dice?

12/18 - 6/9 - 2/3


What are the odds of rolling 2 three of a kind using 6 dice in one roll?

1 in 23328


What are the odds of rolling a 9 with 2 dice?

I believe the odds are about 60:1


Probability of rolling doubles with two dice?

The probability of rolling doubles with two dice is 1 in 6, or about 0.167.


What are the odds of not rolling a 1 when a dice is rolled?

5 out of 6


When rolling two dice what are the odds of not rolling a 1 or 2 25 times in a row?

The odds of not rolling a 1 or 2 with two dice is 35 in 36. The odds of doing that 25 times in a row is (35/36)25 or about 0.4945Note: The odds of not rolling a 1 is zero, so the answer degraded to the odds of not rolling a 2.===================================Opinion #2:-- There are 36 possible outcomes when 2 dice are rolled.-- Only one of the outcomes is a 2.-- So the probability of NOT rolling a 2 with 2 dice is 35/36 .-- In 25 consecutive rolls, the probability of never rolling a 2 is (35/36)25 = 49.45% .-- The 'odds' are 1,011 to 989 against it.


When rolling two dice what are the odds of rolling both even numbers?

The probability of rolling two even numbers on two standard dice is 0.52, or 0.25.


When rolling two dice what are the odds of rolling two even numbers?

There is a one out of four chance of having both dice even numbers.