RADAGA wrote:Okay, so the dice are unpredictable.
But are they truly random? What we see, several times over, are "streaks of luck"
Actually, there is no "luck" involved; we are not cavemen. What is involved is a thinly veiled pattern of numbers, generated by sound vibrations, and in fact both patterns and sound vibrations are by definition non-random. There is also no "luck" involved in sound vibrations or patterns. It is unpredictable by design, not by "luck" or "randomness."
RADAGA wrote:It is way too common to get 4 sixes in a row, or 4 ones, for that matter.
Just went to random.org, and ordered 16 dice to roll
4 6 6 3 3 5 2 2 4 6 5 4 2 2 2 2
Timestamp: 2008-05-12 11:46:53 UTC
then again
2 2 4 1 6 6 5 5 5 2 5 2 4 6 1 5
Timestamp: 2008-05-12 11:50:08 UTC
and once more
3 6 5 4 5 5 6 2 5 6 6 6 5 1 4 2
Timestamp: 2008-05-12 11:51:10 UTC
last time
5 4 5 1 4 1 4 2 6 2 1 2 4 1 2 5
Timestamp: 2008-05-12 11:52:23 UTC
lets analyse
First time: four TWO in sequence
Odds of three numbers (any) in sequence = 1/6*1/6*1/6 + 1/6*1/6*1/6 + 1/6*1/6*1/6
in three dice: 1/72 ... 16 have 5 blocks of 3 dice, so roughly one on each fourteen rolls should have a triplet.
"Should?" The problem is that we're talking about unpredictable patterns here. If you desire unpredictability, then your preconceived notions about what patterns "should" or "should not" manifest must be discarded, in order to have a truly scientific analysis of the data. If you desire predictability, however, then your preconceived notions are acceptable, even though unscientific.
RADAGA wrote:In four trials, I got it 3 times. One of them I got even a 4 streak.
Next, the ammount of same numbers.
On roll #1, the 2 were the favored.
We got 6 twos 37% of the rolls were twos.
On roll #2 we had 5 fives (31%)
on roll #3, 5 sixes (31%)
on roll #4, 4 fours and 4 twos (25% of each)
So, you can say, for sure, that, every time you roll 16 dice, you will have AT LEAST 25% of occurrences of a same number? and that, 3 times every four streaks, you will have at least 3 equal numbers in a row?
No, you can't. You have not presented every instance of the rolls that random.org produces, in the rolls that you mentioned above; you have only presented a handful.
You can say for sure that, ONLY in the isolated handful of examples above, you had 25% of same number occurrences. Again, you are assuming predictability in your attempt to prove predictability, which is unscientific. You are placing the cart before the horse: in order to prove that the dice are predictable, you need to set aside your assumption at the outset, otherwise you are building a case around your preconceived notion, not around the reality of the dice. Again, they are unpredictable by design.
RADAGA wrote:Next, from random.org>
3 dice.
6 6 2
1 1 5
1 1 2
4 3 6
3 6 3
1 4 6
1 4 3
1 4 6
1 1 1
1 6 2
rolled 10 times. Lets see... I got
doubles: 4 times
same result (1,4) 3 times in a row
and a triplet 1 1 1 (one chance in 72)
Rolling two
3 3 Timestamp: 2008-05-12 12:12:12 UTC
1 5
1 1 Timestamp: 2008-05-12 12:12:31 UTC
4 2
4 4 Timestamp: 2008-05-12 12:12:51 UTC
4 4 Timestamp: 2008-05-12 12:13:05 UTC
5 5 Timestamp: 2008-05-12 12:13:18 UTC
2 4
4 2
2 4
5 5 Timestamp: 2008-05-12 12:14:50 UTC
4 3 Timestamp: 2008-05-12 12:15:05 UTC
Okay. so, I rolled twelve times two dice.
there is one in 36 times that each pair will show up, one in six ANY pair will show up
So, rolling twelve times, I should expect TWO pairs to come up.
By saying that you "should expect," you are again assuming predictability of the dice, and since it seems to be your intent to prove predictability, then your assumption nullifies the scientific integrity of your experiment.
RADAGA wrote:I got SEVEN pairs. three and a half times more than what would be expected.
You have only proven that the dice are unpredictable within the limited set of trials above, as all of your rolls manifest patterns that you do not expect.
RADAGA wrote:More, seven pairs in 12 rolls, means over HALF of the rolls were pairs.
And of the 24 dice, 9 were fours, one third of the dice ended up on a same number. the odds say one SIXTH should.
Again, you have shown that the dice defy your preconceived notion of what they "should" manifest, and so you are only proving that they are unpredictable in the limited set of trials you post above. The dice are definitely unpredictable by design.
RADAGA wrote:So EVERY instance I tested happened MORE than should be expected. Sometimes by a gross margin.
Does anyone bother to try and refute?
[/quote]
Nobody can refute the hard, cold facts of the numbers you posted above. However, you seem to be trying to imply, without actually saying so, that the dice are predictable. You have not proven so.
In order to prove that they are predictable, you would have to predict, beforehand, a roll or several rolls in a row, and in fact, you would have to show that you are capable of repeatedly predicting rolls far into the future. You have not done so.
By approaching this issue with preconceived notions about "odds," and how the dice patterns "should" manifest, and citing a tiny handful of rolls, stating at the end that the patterns manifested in ways that you DID NOT EXPECT, all you have proven is that, in the tiny set of examples above, the dice patterns were unpredictable within the frame of reference of your own preconceived notions of how they "should" or "should not" manifest. Your attempts to extrapolate these 3 or 4 sets of numbers to ALL number strings from random.org is unscientific, and inapplicable to reality.