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 help me with the odds of this
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cwgii
Penny Hoarding Member


USA
924 Posts

Posted - 02/28/2010 :  12:04:12  Show Profile Send cwgii a Private Message
i will admit that 'odds' are not my strong point.

when i first started sorting, i was 'excited' to find my first roll with a wheat showing on the end.

after a year. i am getting close to 50 rolls.

my question is this. what are the odds of finding a wheat showing.

based on last years stats. i find 29.95 wheats per $100.00

slickeast
1000+ Penny Miser Member



USA
2533 Posts

Posted - 02/28/2010 :  12:18:50  Show Profile Send slickeast a Private Message
so you find 29.95 wheats for every 10,000 pennies or .02995% are wheat

You don't have to be the BEST you just have to be.......SLICK

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cwgii
Penny Hoarding Member



USA
924 Posts

Posted - 02/28/2010 :  12:29:00  Show Profile Send cwgii a Private Message
lol, that much i understand, the question is,,,,, what are the odds that there is a wheat showing on the end of a roll.
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thogey
1000+ Penny Miser Member



USA
1617 Posts

Posted - 02/28/2010 :  12:48:37  Show Profile Send thogey a Private Message
I think this give's the answer.

Wheats per roll X odd of a wheat being on the end

So 30/10000=ratio of wheats per total cents divide by cents per roll(50) multiply by odds of a wheat being on the end 2/50

30/10000 X 50/1 X 2/50=3 per 500 rolls. Someone check my math

Edit with 30 wheats per 10000 cents 3 in 500 rolls will have a wheat cent on the end you would have to half that again to have the wheat ears showing.

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Edited by - thogey on 02/28/2010 12:54:14
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styropyro
Penny Sorter Member



USA
54 Posts

Posted - 02/28/2010 :  12:54:55  Show Profile Send styropyro a Private Message
So you find about .3% wheats, or about 1 wheat per 333 pennies. Multiply by 2 for two ends of rolls and you get 167. So one roll out of 167 rolls will have a wheat showing on an end, or about .6%.
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thogey
1000+ Penny Miser Member



USA
1617 Posts

Posted - 02/28/2010 :  12:57:24  Show Profile Send thogey a Private Message
quote:
Originally posted by styropyro

So you find about .3% wheats, or about 1 wheat per 333 pennies. Multiply by 2 for two ends of rolls and you get 167. So one roll out of 167 rolls will have a wheat showing on an end, or about .6%.



Hey I think we came up with the same answer. 3/500=1/166.6666...1/167

cool

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Edited by - thogey on 02/28/2010 12:59:26
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beauanderos
1000+ Penny Miser Member



USA
2408 Posts

Posted - 02/28/2010 :  13:11:56  Show Profile Send beauanderos a Private Message
based on your stats... 30 in $100 equals 30 in 200 rolls. Since you would not know it's a wheatie unless you spotted the ears, make it half that, equalling 30 in 400 rolls equals 0.075% chance of spotting one For every 13.33 rolls you check, with the stats you provided, you would expect to see one wheatie. If you open the box with the ends facing you, you would expect to see one wheatie for every 26.66 rolls (the other end of the roll not visible)... so if you open a box you should see close to two wheaties each time, with another two visible from the other side... strictly by odds

Hoard now and hold on!

http://coppermillions.blogspot.com/
http://wherewillyoubein2012.blogspot.com/

Edited by - beauanderos on 02/28/2010 13:19:38
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Shattered
Penny Hoarding Member



USA
523 Posts

Posted - 02/28/2010 :  13:14:03  Show Profile Send Shattered a Private Message
I've had wheaties on the end. I knew they were because I saw the year.

"I need metal in my life, just like an eagle needs to fly."
-Joseph DeMaio : Die For Metal
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thogey
1000+ Penny Miser Member



USA
1617 Posts

Posted - 02/28/2010 :  13:16:18  Show Profile Send thogey a Private Message
quote:
Originally posted by beauanderos

based on your stats... 30 in $100 equals 30 in 200 rolls. Since you would not know it's a wheatie unless you spotted the ears, make it half that, equalling 30 in 400 rolls equals 0.075% chance of spotting one



Ahhh, but you can tell if it's a wheat without seeing the reverse.

As long a you can see the date.

Now let's determine the odds of finding and Indian on the end.

Let's start with the premise that it is possible to find. Oh say
9 indians per box

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beauanderos
1000+ Penny Miser Member



USA
2408 Posts

Posted - 02/28/2010 :  13:18:20  Show Profile Send beauanderos a Private Message
your actual percentage of wheaties in the rolls (upon closer inspection) would be double my first answer (as pointed out be shattered)... but I was providing a "first glimpse" answer.

Hoard now and hold on!

http://coppermillions.blogspot.com/
http://wherewillyoubein2012.blogspot.com/

Edited by - beauanderos on 02/28/2010 13:31:49
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thogey
1000+ Penny Miser Member



USA
1617 Posts

Posted - 02/28/2010 :  13:22:40  Show Profile Send thogey a Private Message
quote:
Originally posted by beauanderos

based on your stats... 30 in $100 equals 30 in 200 rolls. Since you would not know it's a wheatie unless you spotted the ears, make it half that, equalling 30 in 400 rolls equals 0.075% chance of spotting one For every 13.33 rolls you check, with the stats you provided, you would expect to see one wheatie. If you open the box with the ends facing you, you would expect to see one wheatie for every 26.66 rolls (the other side not visible)... so if you open a box you should see close to two wheaties each time, with another two visible from the other side... strictly by odds



I think your odds are wrong because you forgot to factor that there is only a 1 in 25 chance of a given cent being on either end.

You have to multiply the demoniator by 25

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beauanderos
1000+ Penny Miser Member



USA
2408 Posts

Posted - 02/28/2010 :  13:24:16  Show Profile Send beauanderos a Private Message
quote:
Originally posted by thogey

quote:
Originally posted by beauanderos

based on your stats... 30 in $100 equals 30 in 200 rolls. Since you would not know it's a wheatie unless you spotted the ears, make it half that, equalling 30 in 400 rolls equals 0.075% chance of spotting one



Ahhh, but you can tell if it's a wheat without seeing the reverse.

As long a you can see the date.

Now let's determine the odds of finding and Indian on the end.Let's start with the premise that it is possible to find. Oh say
9 indians per box




the odds are... no more findings like this will ever be reported in the history of mankind

Hoard now and hold on!

http://coppermillions.blogspot.com/
http://wherewillyoubein2012.blogspot.com/
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dakota1955
1000+ Penny Miser Member



2212 Posts

Posted - 02/28/2010 :  13:25:31  Show Profile  Send dakota1955 a Yahoo! Message Send dakota1955 a Private Message
to much math my brain hurts.
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beauanderos
1000+ Penny Miser Member



USA
2408 Posts

Posted - 02/28/2010 :  13:31:21  Show Profile Send beauanderos a Private Message
quote:
Originally posted by thogey

I think your odds are wrong because you forgot to factor that there is only a 1 in 25 chance of a given cent being on either end.

You have to multiply the demoniator by 25



Eric, you're right... I was in a hurry. So actual odds would be 1/25 (0.4) times 0.0075 = 0.003 percent (thanks, I wasn't very good in math) for visible ears, 0.006 if you want to use a magnifying glass to see the date!

Hoard now and hold on!

http://coppermillions.blogspot.com/
http://wherewillyoubein2012.blogspot.com/
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thogey
1000+ Penny Miser Member



USA
1617 Posts

Posted - 02/28/2010 :  13:39:09  Show Profile Send thogey a Private Message
There we go, an answer for cwgii.

cwgii,

The odds of finding a wheat cent showing on the end of a roll: given 30 wheat cents per $100

is

.6% or 1/167

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beauanderos
1000+ Penny Miser Member



USA
2408 Posts

Posted - 02/28/2010 :  13:53:36  Show Profile Send beauanderos a Private Message
quote:
Originally posted by thogey

.6% or 1/167


Assuming this is a correct answer, then my previous estimate is way off... and you would only spot wheatie ears upon opening a box of fifty rolls about one out time for every seven boxes (1/333) opened (the other side is not visible) the real question like Dakota says... why am I obsessing over this?

Hoard now and hold on!

http://coppermillions.blogspot.com/
http://wherewillyoubein2012.blogspot.com/
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fb101
Administrator



USA
2856 Posts

Posted - 02/28/2010 :  15:28:13  Show Profile Send fb101 a Private Message
quote:
the real question like Dakota says... why am I obsessing over this?



OCD?

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slickeast
1000+ Penny Miser Member



USA
2533 Posts

Posted - 02/28/2010 :  16:38:50  Show Profile Send slickeast a Private Message
Where is c140cessnea when you need him.

You don't have to be the BEST you just have to be.......SLICK

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cecropia_moth
Penny Pincher Member



USA
222 Posts

Posted - 03/01/2010 :  01:20:28  Show Profile Send cecropia_moth a Private Message
thogey -

I don't think that finding 9 Indian Heads per box is a reasonable expectation. I don't sort a ton of pennies...I have been averaging one $50 bag give/take for about the last 8 months...let's say 150,000 sorted total. In that time I have never found an Indian. I think I read where someone said you need to sort roughly 250,000 cents to turn up an Indian...then add roll ends...the odds must be astronomical.

Jeff
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thogey
1000+ Penny Miser Member



USA
1617 Posts

Posted - 03/01/2010 :  08:28:48  Show Profile Send thogey a Private Message
quote:
Originally posted by cecropia_moth

thogey -

I don't think that finding 9 Indian Heads per box is a reasonable expectation. I don't sort a ton of pennies...I have been averaging one $50 bag give/take for about the last 8 months...let's say 150,000 sorted total. In that time I have never found an Indian. I think I read where someone said you need to sort roughly 250,000 cents to turn up an Indian...then add roll ends...the odds must be astronomical.

Jeff



I was kinda making light of a realcent member who recently posted finding 9 IHPs in a box. I agree with you and believe the real odds are 1/150000 to 1/250000

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cecropia_moth
Penny Pincher Member



USA
222 Posts

Posted - 03/01/2010 :  11:43:56  Show Profile Send cecropia_moth a Private Message
OK...Now I get what you were referring to!!! I should have picked up on that...you are way too experienced to believe there are 9 IHP's per box on average. My bad.

Jeff
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uthminsta
1000+ Penny Miser Member



USA
1872 Posts

Posted - 03/04/2010 :  15:57:04  Show Profile Send uthminsta a Private Message
According to the unreliably small test sample I brought home today ($5 in String rolls), the odds are pretty good. One in ten rolls Had to experiment with the closeup setting on my camera, but here's a 56D.

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slickeast
1000+ Penny Miser Member



USA
2533 Posts

Posted - 03/04/2010 :  16:03:21  Show Profile Send slickeast a Private Message
I think I figured it out, the odds of finding a wheat on the end of a roll is the same as the odds of one of us figuring out the odds.

You don't have to be the BEST you just have to be.......SLICK

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uthminsta
1000+ Penny Miser Member



USA
1872 Posts

Posted - 03/04/2010 :  16:38:08  Show Profile Send uthminsta a Private Message
That roll was good to me. 22 copper including 2 wheats (the other was a 1953D) and a 1966 Canadian.

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