# 1-2-3-4-5-6

**URL:** <https://boards.straightdope.com/t/1-2-3-4-5-6/970>\
**Category:** Factual Questions\
**Created:** [May 22, 1999, 1:37am UTC](https://boards.straightdope.com/t/1-2-3-4-5-6/970 "1999-05-22T01:37:00Z")\
**Posts on this page:** 11\
**Page:** 3

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**Author:** ![system](https://global.discourse-cdn.com/straightdope/original/2X/e/e489c3b7d8fce19c4b355dd4fc3f88cc39c34b87.png) [@system](https://boards.straightdope.com/u/system)\
**Post date:** [June 15, 1999, 6:28pm UTC](https://boards.straightdope.com/t/1-2-3-4-5-6/970/41 "1999-06-15T18:28:00Z")

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The reason the numbers don’t appear to be random is that you are looking at one discrete segment of outcomes, and not at the list of all possible outcomes (a long list, in the case of the lottery.) Try flipping a coin one hundred times. It doesn’t come out H-T-H-T-H-T-H-; on the contrary, you can easily get runs of four or five heads in a row. This doesn’t mean that flipping a coin isn’t random. Many people jump to the conclusion that the laws of probability determine the outcome of a random event, when in fact they determine the indeterminibility of the outcome of a random event. Taken to extremes, this means that there is no particular reason why the same winning lottery number can’t be drawn two weeks in a row; it’s just that this probably won’t happen.

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**Author:** ![system](https://global.discourse-cdn.com/straightdope/original/2X/e/e489c3b7d8fce19c4b355dd4fc3f88cc39c34b87.png) [@system](https://boards.straightdope.com/u/system)\
**Post date:** [June 15, 1999, 6:40pm UTC](https://boards.straightdope.com/t/1-2-3-4-5-6/970/42 "1999-06-15T18:40:00Z")

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Oops. I always forget that!

My formula: 1/50 x 1/49 … 1/45

The right formula: 6/50 x 5/49 … 1/45

Thanks for bringing me back down. I always need it.

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**Author:** ![system](https://global.discourse-cdn.com/straightdope/original/2X/e/e489c3b7d8fce19c4b355dd4fc3f88cc39c34b87.png) [@system](https://boards.straightdope.com/u/system)\
**Post date:** [June 15, 1999, 6:50pm UTC](https://boards.straightdope.com/t/1-2-3-4-5-6/970/43 "1999-06-15T18:50:00Z")

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Besides which, that’s a dollar **now** , compared to millions spead out over 10 years. I’ve heard that after the cash option and taxes, you only get 1/4 to 1/6 of your published amount. (Is this stat close to accurate?) So you’d need a jackpot amount of, well, lots of money for it to be a \>1 proposition.

Also, state lotteries are typically about as random as you can get. This is because if there were a pattern, people would find it, and they’d use it. And it wouldn’t be Sam the, mechanic, who crunches the numbers and gets a workable pattern. The lottery, after all, makes money off the little guy, picking his dog’s birthday, knowing his chances are as good as anyones. So they have a vested interest in keeping it random.

-Quadell

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**Author:** ![system](https://global.discourse-cdn.com/straightdope/original/2X/e/e489c3b7d8fce19c4b355dd4fc3f88cc39c34b87.png) [@system](https://boards.straightdope.com/u/system)\
**Post date:** [June 15, 1999, 6:51pm UTC](https://boards.straightdope.com/t/1-2-3-4-5-6/970/44 "1999-06-15T18:51:00Z")

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[quote]  
Probability does seem kind of soft. I mean, flip a coin ten times and you might get ten heads, and that 1/2 probability kinda turns to jello.

[quote]

If you flip a coin nine times, and it comes up heads each time, then the odds of the next flip being a heads in 50-50. One of of every 1024 series of 10 flips of heads in a row would be a 50% chance. Flip a coin 1033 times and see what you come up with.

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**Jim Petty  
 _A Snappy message should appear here_**

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**Author:** ![system](https://global.discourse-cdn.com/straightdope/original/2X/e/e489c3b7d8fce19c4b355dd4fc3f88cc39c34b87.png) [@system](https://boards.straightdope.com/u/system)\
**Post date:** [June 15, 1999, 6:51pm UTC](https://boards.straightdope.com/t/1-2-3-4-5-6/970/45 "1999-06-15T18:51:00Z")

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[quote]  
Probability does seem kind of soft. I mean, flip a coin ten times and you might get ten heads, and that 1/2 probability kinda turns to jello.

[quote]

If you flip a coin nine times, and it comes up heads each time, then the odds of the next flip being a heads in 50-50. One of of every 1024 series of 10 flips of heads in a row would be a 50% chance. Flip a coin 1033 times and see what you come up with.

* * *

**Jim Petty  
 _A Snappy message should appear here_**

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<div class="post-metadata">

**Author:** ![system](https://global.discourse-cdn.com/straightdope/original/2X/e/e489c3b7d8fce19c4b355dd4fc3f88cc39c34b87.png) [@system](https://boards.straightdope.com/u/system)\
**Post date:** [June 15, 1999, 6:53pm UTC](https://boards.straightdope.com/t/1-2-3-4-5-6/970/46 "1999-06-15T18:53:00Z")

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[quote]  
Probability does seem kind of soft. I mean, flip a coin ten times and you might get ten heads, and that 1/2 probability kinda turns to jello.

[quote]

If you flip a coin nine times, and it comes up heads each time, then the odds of the next flip being a heads in 50-50. One of of every 1024 series of 10 flips of heads in a row would be a 50% chance. Flip a coin 1033 times and see what you come up with.

* * *

**Jim Petty  
 _A Snappy message should appear here_**

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<div class="post-metadata">

**Author:** ![system](https://global.discourse-cdn.com/straightdope/original/2X/e/e489c3b7d8fce19c4b355dd4fc3f88cc39c34b87.png) [@system](https://boards.straightdope.com/u/system)\
**Post date:** [June 15, 1999, 6:59pm UTC](https://boards.straightdope.com/t/1-2-3-4-5-6/970/47 "1999-06-15T18:59:00Z")

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[quote]  
Probability does seem kind of soft. I mean, flip a coin ten times and you might get ten heads, and that 1/2 probability kinda turns to jello.

[quote]

If you flip a coin nine times, and it comes up heads each time, then the odds of the next flip being a heads in 50-50. One of of every 1024 series of 10 flips of heads in a row would be a 50% chance. Flip a coin 1033 times and see what you come up with.

* * *

**Jim Petty  
 _A Snappy message should appear here_**

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<div class="post-metadata">

**Author:** ![system](https://global.discourse-cdn.com/straightdope/original/2X/e/e489c3b7d8fce19c4b355dd4fc3f88cc39c34b87.png) [@system](https://boards.straightdope.com/u/system)\
**Post date:** [June 15, 1999, 10:12pm UTC](https://boards.straightdope.com/t/1-2-3-4-5-6/970/48 "1999-06-15T22:12:00Z")

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Jimpy: What’s the probability of your post appearing four times in a rowD)?

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**Author:** ![system](https://global.discourse-cdn.com/straightdope/original/2X/e/e489c3b7d8fce19c4b355dd4fc3f88cc39c34b87.png) [@system](https://boards.straightdope.com/u/system)\
**Post date:** [June 15, 1999, 10:24pm UTC](https://boards.straightdope.com/t/1-2-3-4-5-6/970/49 "1999-06-15T22:24:00Z")

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I’d say probably about the same as my mastering one day the intricacies of the smiliesD)

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**Author:** ![system](https://global.discourse-cdn.com/straightdope/original/2X/e/e489c3b7d8fce19c4b355dd4fc3f88cc39c34b87.png) [@system](https://boards.straightdope.com/u/system)\
**Post date:** [June 16, 1999, 1:06pm UTC](https://boards.straightdope.com/t/1-2-3-4-5-6/970/50 "1999-06-16T13:06:00Z")

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> [@](#):
>
> If you flip a coin nine times, and it comes up heads each time, then the odds of the next flip being a heads in 50-50.

But if you flip a coin 999 times and it comes up heads each time, what are the odds the next flip will come up heads?

I’d say about 100%.

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“For what a man had rather were true, he more readily believes” - Francis Bacon

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**Author:** ![system](https://global.discourse-cdn.com/straightdope/original/2X/e/e489c3b7d8fce19c4b355dd4fc3f88cc39c34b87.png) [@system](https://boards.straightdope.com/u/system)\
**Post date:** [June 16, 1999, 2:52pm UTC](https://boards.straightdope.com/t/1-2-3-4-5-6/970/51 "1999-06-16T14:52:00Z")

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> [@](#):
>
> Imagine a stack of pennies 17,000 miles tall. Now pick a penny, any penny. The  
> odds of picking any one penny are greater than winning the lottery. Pretty damn good if you ask me!

Sounds to me like your chances of being crushed to death are pretty darn good, too.

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