Barthheart
Posts: 3194
Joined: 7/20/2004 From: Nepean, Ontario Status: offline
|
quote:
ORIGINAL: jonj01 .... Now if the number list starts out at a different place the odds in rolling the same two six sided dies 5 times in a row...is 1/(36^5) or 1 to 60 million. .... This is the sequence (6,1,1,1,1) for times in a row. Or a probability of 1/(6^5^3) or about 1 to 2 trillion. ... These are not quite true because the odds of a die coming up a certain number have no effect on the next number the die will be. The odds of a normal 1d6 rolling a 1 is one in 6, the odds the next roll on the same die will be a 1 are 1 in 6 not 1/6^2. Given a perfectly balanced die and it is thrown exactly the same way every time, the chance that each roll will be a 1 is 1 in 6, because one roll has no effect on the previous roll. Given that random number generators are generate numbers the same way, ie previous number has no effect on next number, it very possible to get strings of similar numbers or sets of numbers, in fact it's 1 in 6.
_____________________________
Life is not a journey to the grave with the intention of arriving safely in a pretty & well preserved body, but rather to skid in broadside, totally worn out & proclaiming "WOW, what a ride!"
|