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Author Topic: Not hitting 5 with Silver-Silver opening  (Read 5563 times)

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yed

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Not hitting 5 with Silver-Silver opening
« on: October 18, 2013, 09:59:18 am »
+1

How probable is not hitting 5 turn 3 or 4 with Silver-Silver opening.

Anyone calculated this before? I'm too lazy to do it myself.
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Polk5440

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Re: Not hitting 5 with Silver-Silver opening
« Reply #1 on: October 18, 2013, 11:51:46 am »
+2

I get 5.05%. (not totally confident, though) -- wait not quite.... missed a 2. Recalculating....

Let's try 8.83%

The only shuffles that give you less than $5 on both turns 3 and 4 are:

CCCCE CCCEE SS
CCCCE CCSEE CS
CCCEE CCCCE SS
CCSEE CCCCE CS

(order doesn't matter in each hand).

2*[5*10*7*6*5*4*3*3*2*1*2*1*2*1+2*5*30*7*6*5*4*3*3*2*2*2*1*1*1]/[12!] = 8.83%

There are two ways of ordering CS, 5 ways of ordering CCCCE, 10 ways of ordering CCCEE, 30 ways of ordering CCSEE, and the last two shuffles are probabilistically the same as the first two, so just double the counting. I think this is it.
« Last Edit: October 18, 2013, 12:05:24 pm by Polk5440 »
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jonts26

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Re: Not hitting 5 with Silver-Silver opening
« Reply #2 on: October 18, 2013, 11:58:18 am »
+2

It's 91.2% likely that you hit $5 I believe. Not counting cards which mess up turns 1/2.
« Last Edit: October 18, 2013, 12:01:12 pm by jonts26 »
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Polk5440

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Re: Not hitting 5 with Silver-Silver opening
« Reply #3 on: October 18, 2013, 12:03:10 pm »
0

It's 91.2% likely that you hit $5 I believe. Not counting cards which mess up turns 1/2.

Oh, good. You got my answer, too!
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jonts26

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Re: Not hitting 5 with Silver-Silver opening
« Reply #4 on: October 18, 2013, 12:12:22 pm »
+3

Here's the old blog post that discusses opening probabilities.

http://dominionstrategy.com/2011/03/09/basic-opening-probabilities/
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dondon151

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Re: Not hitting 5 with Silver-Silver opening
« Reply #5 on: October 18, 2013, 02:09:50 pm »
0

An easy fraction to remember is 1/12, though it's not exactly the right probability, but it's close enough.
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GendoIkari

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Re: Not hitting 5 with Silver-Silver opening
« Reply #6 on: October 18, 2013, 02:23:23 pm »
+1

An easy fraction to remember is 1/12, though it's not exactly the right probability, but it's close enough.

Pi is 22/7!
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michaeljb

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Re: Not hitting 5 with Silver-Silver opening
« Reply #7 on: October 18, 2013, 02:42:40 pm »
+1

e^pi - pi = 20
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flies

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Re: Not hitting 5 with Silver-Silver opening
« Reply #8 on: October 18, 2013, 02:53:32 pm »
+2

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flies

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Re: Not hitting 5 with Silver-Silver opening
« Reply #9 on: October 18, 2013, 02:54:50 pm »
+1

also, further off topic, the sum of all natural numbers is -1/12 http://en.wikipedia.org/wiki/1_%2B_2_%2B_3_%2B_4_%2B_%C2%B7_%C2%B7_%C2%B7
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Polk5440

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Re: Not hitting 5 with Silver-Silver opening
« Reply #10 on: October 18, 2013, 03:01:52 pm »
0

pi^4 + pi^5 = e^6 is a neat mathematical coincidence.
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LastFootnote

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Re: Not hitting 5 with Silver-Silver opening
« Reply #11 on: October 18, 2013, 03:05:33 pm »
+1

An easy fraction to remember is 1/12, though it's not exactly the right probability, but it's close enough.

Pi is 22/7!

Failure is just success rounded down.
« Last Edit: October 18, 2013, 03:06:48 pm by LastFootnote »
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qmech

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Re: Not hitting 5 with Silver-Silver opening
« Reply #12 on: October 18, 2013, 03:14:55 pm »
0

An easy fraction to remember is 1/12, though it's not exactly the right probability, but it's close enough.

Pi is 22/7!

Failure is just success rounded down.

Pi rounded down is 333/106.
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eHalcyon

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Re: Not hitting 5 with Silver-Silver opening
« Reply #13 on: October 18, 2013, 06:04:58 pm »
0

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jaybeez

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Re: Not hitting 5 with Silver-Silver opening
« Reply #14 on: October 18, 2013, 07:26:31 pm »
+8

An easy fraction to remember is 1/12, though it's not exactly the right probability, but it's close enough.

Pi is 22/7!
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Grujah

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Re: Not hitting 5 with Silver-Silver opening
« Reply #15 on: October 18, 2013, 08:09:56 pm »
+2

An easy fraction to remember is 1/12, though it's not exactly the right probability, but it's close enough.

Pi is 22/7!

Pi is wrong, anyway.
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WanderingWinder

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Re: Not hitting 5 with Silver-Silver opening
« Reply #16 on: October 18, 2013, 08:17:01 pm »
+2

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Re: Not hitting 5 with Silver-Silver opening
« Reply #17 on: October 18, 2013, 11:59:09 pm »
0

Pi is exactly 3

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