Let us take this to a more binary level...
If you flip a coin and it lands on heads ten times in a row, do you know what the probability is that it will land on heads an eleventh time?
50%.
It doesn't matter how many times it lands on heads, the probability it will ever come up heads is 50%. No amount of calculations or finagling the numbers will ever change this probability.
The same thing happens with a six sided dice. No matter how many times it comes up on a six, the next time you roll it, it has a 16.67% of coming up a six.
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He is saying that the probability of getting the same number on a 6 sides die 4 times in a row is 0.077% not that the next time he comes around it is 0.077%. It is still 16.77% if they aren't weighted
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The odds are the same no matter what combination you're talking about. If you have a six sided dice and roll it six times, the odds of rolling the number 6 six times are identical to the odds of any other combination. In other words, you can roll the combination 1-2-3-4-5-6 with the same odds of rolling the combination 6-6-6-6-6-6 or 6-5-4-3-2-1. The fact remains that each number on the dice has a 16.67% chance of coming up each time, regardless of what was rolled prior.
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Nooooo, each combination can come in a different sequence unless they are all one item, you need to look at the sequence of the combination. Like with a die 1/2 chance of either heads or tails with one throw For two throws 1/4 chance for two heads 1/4 chance for two tails 1/2 chance for both So the chance of getting 4 void fangs in a row is a lot lower than getting any combination of items
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Edited by Gritskrieg: 12/1/2014 3:00:50 AMThat's... Really, seriously, that's not how it works. Going to the binary example, I will do my best to break it down. You have a .5 probability of heads *or* tails on a coin toss, no matter how many times you have flipped it, no matter what comes up prior to the flip. So, we want to calculate the odds of flipping heads three times in a row. As such, we multiply .5 by .5 by .5. This results in a .125 probability, or a 12.5% chance. With me so far? Okay, now let's review the possible combinations of those three coin flips: Heads, heads, heads Heads, tails, tails Heads, heads, tails Heads, tails, heads Tails, heads, heads Tails, tails, heads Tails, heads, tails Tails, tails, tails That's 8 potential outcomes. Each of these outcomes is equally possible. If you can't see that, this next step should make it clearer. .125 multiplied by 8 equals... 1. As such, we have clarified each potential outcome and correctly identified the probability for each possible combination. They are each equally probable. As such, each time we flip the coin, regardless of prior results or the number of times we have flipped the coin, there is a 50% chance of heads and a 50% chance of tails [b]because each outcome is equally possible[/b]. It's math. It works out.
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But what everyone else is saying is that there is the same chance to get 4 other items in the 4 weeks. For example 2 heads and 1 tail. They just look at it like .5*.5*.5 But what can really occur is HHT HTH THH which is 3/8 (which is more than 1/8) Therefore getting other combinations of the items is more likely than 4 in a row
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That's not what happens. I fully understand what is being said but that's like saying combinations that don't produce a specific pattern have a zero percent chance of happening because they didn't happen. It's manipulating results to support a hypothesis. Each combination has an equal chance of occurring. Whether that result presents a specific combination or a combination of all items is not important. A series of 10 heads in a row in a sampling of 100 coin tosses means nothing. The distribution of heads to tails is going to approach 50% the more attempts that are made. The same can happen here after 100 weeks. The probability of any one item being on the vendor on any given week is 16.67%. You can't point at a six item list after 12 or so picks and say that four results in a row are statistically significant in any way, shape, or form.
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That's not what I'm saying, I'm just saying that this guys calculations and assumption are correct. Not once have I referred to weeks previous the last 4
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All I'm trying to say is that getting 4 results that are the same in a batch of results is less likely than other combinations Eg. 3 same 1 different Or 4 different
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*In a batch of 4 results*
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Edited by Stumster: 11/30/2014 4:13:40 AMAgreed
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This. Lesson 1 of stats in high school.