Question about die result odds


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Scarab Sages

Determining odds of outcomes for standard die combinations is pretty easy. My question is about how to determine the odds if you rolled two different dice and took the higher result.

Take 1d6 & 1d12, if I rolled both and took the higher result what would be the chances of each result between 1 & 12? What about 1d12 & 1d12?

Also, how do you determine these odds?

Thanks,

Shane

Scarab Sages

It would seem that, in the case of 1d6 & 1d12, every result above 6 would still have a flat 8.33% chance of occurring. Is this still true of results 6 and lower? That doesn't make sense to me. Surely there is a better chance of getting a higher result.

Shane


Exhaustively, you get this:

1: 1 1.3%
2: 3 4.2%
3: 5 6.9%
4: 7 9.7%
5: 9 12.5%
6: 11 15.3%
7: 6 8.3% and so forth
8: 6
9: 6
10: 6
11: 6
12: 6

Scarab Sages

The first number is the Die result and the last is the odds. What is the middle number? How did you work this out? I hope to be able to repeat your results with this and other die combinations.

Thanks for your help.

Shane


Shane Walden wrote:

The first number is the Die result and the last is the odds. What is the middle number? How did you work this out?

Thanks for your help.

Shane

Ah, sorry. Middle number is the number of occurrences out of possible combinations of rolls of a d6 and d12. I just listed them exhaustively because my brain not work good and because I'm a dork.

RPG Superstar 2008 Top 32

Shane Walden wrote:

The first number is the Die result and the last is the odds. What is the middle number? How did you work this out?

Thanks for your help.

Shane

The middle number is the number of outcomes on the dice that produce that result. 1 is 1, because the only way to get that result is to roll two 1's, but 12 is 6, because there are six ways, because the d12 has to be 12 and the d6 can be any number.

Scarab Sages

Ah, now I am following a little better.

Shane


Ross Byers wrote:
Shane Walden wrote:

The first number is the Die result and the last is the odds. What is the middle number? How did you work this out?

Thanks for your help.

Shane

The middle number is the number of outcomes on the dice that produce that result. 1 is 1, because the only way to get that result is to roll two 1's, but 12 is 6, because there are six ways, because the d12 has to be 12 and the d6 can be any number.

The scrubbing bubble is correct.

RPG Superstar 2008 Top 32

Treppa wrote:
The scrubbing bubble is correct.

I literally laughed out loud at this. Thank you.


Ross Byers wrote:
Treppa wrote:
The scrubbing bubble is correct.
I literally laughed out loud at this. Thank you.

You need to steal Cosmo's mustache.

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