If you roll five dice at one time, what are the odds that each dice will have the same number?

I would say the odds would be 1 in 30 (5 dice with 6 possibilities of numbers each). Sometimes it seems the odds are better than that when playing Yahtzee but that's the only logical way I can see to look at it.

Actually it would be more than that because you would have to go through all the possibilities of 1,1,1,1,2 1,1,1,1,3 1,1,1,1,4 and do that for each number on each die. I used to know how to figure this out but I'm now old and have forgotten. :(

You know I pondererd that after I posted my answer and couldn't figure it out either! I figured....ah well, I'll wait and see if a real math brain oriented person can give a better answer. Hey Jodi-Mesa.....I know you're great with numbers. What would be the proper solution for this question? Laughing here......Now it's REALLY got me curious!

This answer was edited by grandmother 281 days ago.

Reason: Correction

6 to 1, because there are 6 chances of this occuring in 36 different overall possibities.

I just rolled the dice about 140 times and i have yet to have a roll have the same number come up on all dice during the same roll. so how can it be 6 to 1?

Hmmm....I'm not a genius with mathematics but I've rolled the same number plenty of times while playing Yahtzee.

Im sorry, i was waaaay off and and now coming back with 6 occurences in 250 possibilities, making it 41.667 to 1.

The odds of getting all 1's would be

1/6 * 1/6 * 1/6 * 1/6 * 1/6 for 1/7776 or (1/6)^5

then add up the 6 chances it could be

(1/6)^5*6

or

1/1296 or a 0.07% chance of all the dice coming up the same number (which is why you usually don't see a yatzee on the first roll during the course of a yazee game)

and, i'm assuming you mean 6 sided dice, and not 4, 8, 10, 12, 20, 100 sided dice.

This answer was edited by sidelko 275 days ago.

Reason: added one last assumption