Dice experience

[methshin]

I was talking with some friends over the weekend ang we got on the subject of monopoly, the board game.

There was one time where the people I was talking with and I were playing a game of monopoly together. It was my turn and I said I needed a certain number with the dice, I shook and roll and, boom, the number I cited. Which is strange, but it gets stranger. Over the next few turns, I manage to call my dice rolls FIVE times in a row (for 6 in total), which is including saying I need an 8 in doubles as opposed to a 6 and a 2. After I had sufficiently freaked my friends out (and myself, but I'm not about to show that in a game of monopoly), the strangeness stopped and I've never been able to do it again. I don't know what the odds are calling your rolls on two dice 6 times consecutively are, but I'm thinking I shoulda bought a lottery ticket, as long as it was a lightning storm or meteor shower.

Anyone else had something like this happen to them?

 

[mikec]

Strangely - I have had a YATZEE experience that was very similar.

6 "Yatzee" rolls in a row.

 

[methshin]

Strangely - I have had a YATZEE experience that was very similar.

6 "Yatzee" rolls in a row.

I've never played yahtzee, but I assume that is a tough roll. Interesting how it was also 6 times.

 

[Lemmy]

Hello Methshin,

It looks like you are talking about odds of between a million to one and ten million to one.

Unfortunately, the odds of throwing a particular number depend on the number you need! Each die can land in one of six positions so there are 36 possible outcomes, some of which will add up to the same numbers.

I just scribbled the possible throws down and get this:
(hope you don't use a proportional font)

Score possible die faces No. ways
----- ---------------------------- --------
2 1+1 1
3 1+2, 2+1 2
4 1+3, 2+2, 3+1 3
5 1+4, 2+3, 3+2, 4+1 4
6 1+5, 2+4, 3+3, 4+2, 5+1 5
7 1+6, 2+5, 3+4, 4+3, 5+2, 6+1 6
8 2+6, 3+5, 4+4, 5+3, 6+2 5
9 3+6, 4+5, 5+4, 6+3 4
10 4+6, 5+5, 6+4 3
11 5+6, 6+5 2
12 6+6 1

The chances of throwing a particular number is the number of ways divided by 36. We could take an average and say that for many throws there is about 3.5/36 ways or about 1/10 of throwing what you want. If that sounds reasonable then getting five of your throws correct is about one in 100000. The double four has only one chance in 36 of happening so you are now talking of one chance in 3600000.

You should have bought that ticket.

Lemmy

 

[methshin]

Hello Methshin,

It looks like you are talking about odds of between a million to one and ten million to one.

Unfortunately, the odds of throwing a particular number depend on the number you need! Each die can land in one of six positions so there are 36 possible outcomes, some of which will add up to the same numbers.

I just scribbled the possible throws down and get this:
(hope you don't use a proportional font)

Score possible die faces No. ways
----- ---------------------------- --------
2 1+1 1
3 1+2, 2+1 2
4 1+3, 2+2, 3+1 3
5 1+4, 2+3, 3+2, 4+1 4
6 1+5, 2+4, 3+3, 4+2, 5+1 5
7 1+6, 2+5, 3+4, 4+3, 5+2, 6+1 6
8 2+6, 3+5, 4+4, 5+3, 6+2 5
9 3+6, 4+5, 5+4, 6+3 4
10 4+6, 5+5, 6+4 3
11 5+6, 6+5 2
12 6+6 1

The chances of throwing a particular number is the number of ways divided by 36. We could take an average and say that for many throws there is about 3.5/36 ways or about 1/10 of throwing what you want. If that sounds reasonable then getting five of your throws correct is about one in 100000. The double four has only one chance in 36 of happening so you are now talking of one chance in 3600000.

You should have bought that ticket.

Lemmy

thanks for the math there, I wish I remembered what I rolled and what the combinations were. Either way, 6 called rolls in a row is some intense shit.

 

[Lemmy]

Perhaps I should have also posted the absolute limits:

If by some remarkable quirk of fate you needed five sevens plus your double four then the chances of getting it would be one in 36*6^5 or 1 in 279936.

OTOH if you got really unlucky and needed a run of 2's and 12's plus double four then your chances are one in 36*36^5 or 1 in 2176782336.

So the limits are about a quarter of a million and 2 billion.

Either way, these are not odds to put money on.

Lemmy