plamen.velkov
plamen.velkov
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October 25th, 2015 at 3:00:56 PM permalink
Hello Mr. Wizard i recently read that the probability of a coin landing on edge is approximately 1 in 6000 tosses. Then i asked myself what are the odds of a coin landing it's edge two times in a roll is and i couldn't find the answer. so would you solve it for me, please? Best of wishes P.V.
Donuts
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October 27th, 2015 at 1:22:58 PM permalink
1/6000 * 1/6000= 1/3.6M (1 in 3,600,000)
AlanMendelson
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October 27th, 2015 at 1:45:06 PM permalink
Just as an aside: US coins are not "fair coins." The "heads" half is heavier because of the portraits.

Every few years I contact the private mint that makes the Super Bowl coin that is flipped to ask if it's coins are evenly weighted and I've never received a response.
rxwine
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October 27th, 2015 at 1:57:13 PM permalink
Quote: AlanMendelson

Just as an aside: US coins are not "fair coins." The "heads" half is heavier because of the portraits.

Every few years I contact the private mint that makes the Super Bowl coin that is flipped to ask if it's coins are evenly weighted and I've never received a response.



Assuming it's not, would you pick heads or tails while it's in the air during the toss, based on what?

Because I don't think they would tell you what side it's weighted to either and each coin is different.

Or do you just want to know if it's balanced, as general info?
Sanitized for Your Protection
Joeman
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October 27th, 2015 at 2:02:04 PM permalink
Quote: plamen.velkov

Hello Mr. Wizard i recently read that the probability of a coin landing on edge is approximately 1 in 6000 tosses.

Really? This number (of tosses to get an edge landing) seems awfully low. I guess it depends on the coin (and height of toss, landing surface, etc.), but I would have thought the number of tosses would be orders higher than 6,000.

I could easily be wrong, though. Can I ask where you read this?

EDIT: OK, I found this, which claims the 1:6000 value for a US nickel. Looks like you have to subscribe, though, to get access to more than just the study's abstract. But I also found this website, where in the third answer down, the author claims that the above study "actually used hexagonal nuts," and evidently extrapolated the results to get the 1:6000 number for the nickel.
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AlanMendelson
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October 27th, 2015 at 2:10:20 PM permalink
Several years ago MIT did a test and determined the heads side of US cents would land down, tails up.

I don't know of any other tests including a test of Super Bowl coins.
AlanMendelson
AlanMendelson
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October 27th, 2015 at 2:12:15 PM permalink
Quote: Joeman

Really? This number (of tosses to get an edge landing) seems awfully low. I guess it depends on the coin (and height of toss, landing surface, etc.), but I would have thought the number of tosses would be orders higher than 6,000.

I could easily be wrong, though. Can I ask where you read this?



In the Twilight Zone episode the newspaper boy said it was one in a million
Dieter
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Dieter
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October 27th, 2015 at 5:09:44 PM permalink
Quote: rxwine

Assuming it's not, would you pick heads or tails while it's in the air during the toss, based on what?



If you don't know the starting orientation and type of toss, it doesn't matter.
May the cards fall in your favor.
RS
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October 27th, 2015 at 5:24:40 PM permalink
It happened in Mouse Hunt.
Ayecarumba
Ayecarumba
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October 27th, 2015 at 6:00:32 PM permalink
Jimmy Stewart got to go to Washington D.C. in "Mr. Smith Goes To Washington" when a flipped coin lands on edge.

Gee, maybe it does happen pretty often....
Simplicity is the ultimate sophistication - Leonardo da Vinci
Dieter
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Dieter
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October 27th, 2015 at 7:08:45 PM permalink
Having flipped a large number of coins, the only time I've ever seen it settle on "edge" instead of "head" or "tail" was when it fell in a crevice and was supported.

That happened once that I saw over a 5 year span of AP coin tossing, which I estimate to be around 25000 observed tosses.
May the cards fall in your favor.
teddys
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October 27th, 2015 at 8:35:48 PM permalink
Quote: Dieter


That happened once that I saw over a 5 year span of AP coin tossing, which I estimate to be around 25000 observed tosses.

Do tell.
"Dice, verily, are armed with goads and driving-hooks, deceiving and tormenting, causing grievous woe." -Rig Veda 10.34.4
AlanMendelson
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October 28th, 2015 at 1:27:31 AM permalink
Quote: Dieter


That happened once that I saw over a 5 year span of AP coin tossing, which I estimate to be around 25000 observed tosses.



Details please.
Dieter
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Dieter
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October 28th, 2015 at 2:33:21 AM permalink
The guys at the place I used to work would flip coins to see who won the "privilege" of buying everyone else sodas.

I drank a lot more sodas than I bought.

Why was it an advantage play? Because I didn't toss the coin fairly.

Why so many coin tosses? People would keep flipping coins until they got one that landed heads. Double or nothing was a common option. Ties were relatively common, initiating another round.


As for how the mechanics of CI works... controlled initial orientation, controlled release, and if you're catching rather than allowing it to land, a controlled catch.


I'm not convinced that "Mikey" actually had an edge, but given a choice to flip a coin against him, I'd prefer not to do it if the quarter he's using has a peach on the reverse. The smack-talk gets unbearable.
May the cards fall in your favor.
Dieter
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Dieter
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October 29th, 2015 at 2:03:24 AM permalink
Rather than reposting the details...

https://wizardofvegas.com/forum/gambling/betting-systems/19635-the-st-petersburg-paradox/2/#post399096
May the cards fall in your favor.
standbymyman
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October 29th, 2015 at 9:37:25 AM permalink
Quote: AlanMendelson

Several years ago MIT did a test and determined the heads side of US cents would land down, tails up.

I don't know of any other tests including a test of Super Bowl coins.




So, MIT says 100% tails.
Romes
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October 29th, 2015 at 9:52:54 AM permalink
Is this what spawned "Tails Never Fails?" Perhaps =p...
Playing it correctly means you've already won.
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