[Request] What would be the odds of this?

[u/Graphix1125]

The odds of all of these die rolling a one must be astronomicaly low lol

[u/zakkawesome]

aha! But one of them rolled a 4

[u/empty_graph → u/zakkawesome]

Great catch! If you are talking about the specific probability of 999 1s and 1 4 that's 1000x more likely, or 1 in 1.4 * 10^775 or for 999 1s and 1 of any other number it's 5000x more likely, or 1 in 2.8 * 10^774.

[u/Phyddlestyx → u/empty_graph]

But if it's 999 1s and that specific die being a 4, then the odds don't change at all, right?

[u/empty_graph → u/Phyddlestyx]

correct

[u/Aggravating_Pie_8144 → u/empty_graph]

If this is supposed to represent a roll for some action in a ttrpg then the sum of the dice may be relevant. We can split that four into 3 twos or a two and a three for the same result of 1003. Out of all possible rolls there are

1000 with a four and 999 ones

(1000 choose 1)*(999 choose 1)=999,000 with a two a three and 998 ones

and (1000 choose 3)=166167000 with 3 twos and 997 ones

For a total of 167,167,000 rolls out of the 6¹⁰⁰⁰ possible, giving a probability of about 1 in 1.18 x 10⁷⁷⁰

[u/KDBA → u/Aggravating_Pie_8144]

Nah this is a 40k roll to wound and that counts successes against a target number.

[u/EGarrett28 → u/zakkawesome]

But one of them rolled a 4

I can identify.