Normal dice or are you guys playing dungeons and dragons again?
Okay, hoping someone can help...
Son and I each rolled four different colored dice... one red, one white, one black, one yellow.
What are the odds that we roll the exact same sequence of numbers on the exact same colored dice?
Thank you, math folks!
Normal dice or are you guys playing dungeons and dragons again?
How is the sequencing of the dice determined? Do you roll each die individually in color order or do you roll them all at once and they’re sequenced according to how they land on the table? In other words: can you permute the dice after they’re rolled?
Rolled all at once, order doesn't matter, but the numbers of the dice match... so a 5 on both yellow dice, a 3 on both red dice, and so on.
And no, not a test... my son and I actually did this, and we have no idea what the odds are... I texted my roomie, but he hasn't texted back yet, so I thought I'd ask here!
So, you know you're going to get a result on 4 of the dice, so what you're asking is the odds (or the probability, though in this case they'll be basically the same number as at probabilities approaching 0 or 1 the odds match the probability) that the other 4 dice will exactly match those first 4, right?
So the probability of two dice matching is 1/6. And you are matching 4 pairs of dice. So 1/6^4, or 1/1296 (0.08%). The odds are then 1/(1296*(1-1/1296)) = 0.08%.
Crap, so I was RIGHT?! I figured there was no way I had figured that out correctly. Thanks!
You either will both roll the same, or you won’t. So it’s 50/50.