If you have a dice with numbers 1-3 on it that two numbers would come up more.?

Question

Cause with 1 and 2 you have less chance of missing a number randomly.

But with 1 2 3 you could and do get two numbers more often then the 3rd. Statisically if the world worked 100% of the time you would roll all three numbers before rolling the same number twice.

Here are the numbers I got:

2,2,3,2,3,1, 2,3,3,1,2,3,2,2,2,3

How come luck ran out on the 1? Is there something about it being on odd number????

This happened almost consistently for two hours with an occasional two 1's in a roll.

I was wondering if there is some mathatical theory to this?

Also I tried it on a different day and 3 was the least number rolled

Oh, and I'm not talking about 1 being off but the number of choices 1-3 being and odd number.

Answer 1

What is the physical design of the die? (BTW, "dice" is plural. If there's only one, then it's called a "die.")

Is it a normal six-sided die with opposite sides printed with the same number (so two sides have a 1, two sides have a 2, two sides have a 3)?

>"Statisically if the world worked 100% of the time you would roll all three numbers before rolling the same number twice."

Not true. If that were how randomness worked (avoiding consecutive rolls), then when flipping a coin (basically a two-sided die) then it would have to alternate perfectly H, T, H, T, H, T.

In other words, the next roll of the die does not depend at all on the result of the previous roll. If you roll a 3, that does not make it "less likely" that the next roll will be another 3 ... the odds of rolling a 3 are exactly the same as rolling a 1, or 2 (exactly 1/3 each).

HOWEVER, if you are consistently getting fewer such a small number of 1-rolls, then I suspect there is something non-symmetrical about the physical design of your die. Could it prehaps be a six-sided die with one side printed with a 1, two sides printed with a 2, and three sides printed with a 3?

Answer 2

There is no theory to this, just pure luck. Each side has roughly a 33.3% chance of landing. Therefore it has a 66.7% chance of not landing. Coincidentally, the 1's were just having a bad time. Once again, all of this is random, so the numbers don't all have to come up at the same time.

Answer 3

how did you get a 3 sided die...

and yeah if the world were perfect there would be no crime too. Its a random thing, no explanation.

Answer 4

i bet your luckly is 2