Could you explain your calculations hosseinimr93?
Why do you take 0.5/10,000 and not 1/10,000 ? I don't get it.
AFAIK it's wrong.
The chance of hitting 10,000 is not 1 in 10,000. That's 0.5 in 10,000.
Every time you play free roll, some calculations are done and a decimal number between 0 and 10,000 is obtained. The decimal number is rounded to the nearest integer.
For hitting 10,000, the decimal number needs to be between 9,999.50 and 10,000.
The chance of never hitting 10,000 in 10,000 rolls is (1- 0.00005)
10,000 = 0.607 = 60.7%
The chance of hitting 10,000 at least one time in 10,000 rolls is 1 - 60.7 = 39.3%
Well you seem to be right indeed.
Because the max number we can get is FFFF FFFF
16 actually. (8 hexadecimal digits)
It's 4 294 967 295 in radix 10.
Since it's divided by 429 496.7295 then the maximum number we can get before being rounded is
10 000 and not
10 000.5 The first 8 characters of the hex string are taken and converted to a decimal.
This decimal is then divided by 429496.7295 and rounded off to the nearest whole number.
This whole number is used as your roll, with the maximum possible value being 10,000.