Coin landing on Edge after fair toss

  • Thread starter PhanthomJay
  • Start date
  • Tags
    Edge
In summary, the probability of a fair coin landing on its edge after being tossed by an unbiased tosser is extremely low, and would require complex statistical calculations to accurately determine. The coin usually lands on either heads or tails, but on rare occasions, it can land on its edge due to a combination of input forces. This phenomenon would best be described using a statistical mechanics approach.
  • #1
PhanthomJay
Science Advisor
Homework Helper
Gold Member
7,201
529
What is the probability of a fair coin landing on its edge after being tossed by an unbiased tosser? Is there a way to calculate this? Usually the coin will land either heads or tails, but once in awhile, even when not in the Twilight Zone, it will land on its edge...how much is 'once in a while'? No walls allowed which the coin might lean against...just an unbiased floor...
 
Physics news on Phys.org
  • #2
PhanthomJay said:
What is the probability of a fair coin landing on its edge after being tossed by an unbiased tosser? Is there a way to calculate this? Usually the coin will land either heads or tails, but once in awhile, even when not in the Twilight Zone, it will land on its edge...how much is 'once in a while'? No walls allowed which the coin might lean against...just an unbiased floor...

This is probably going to be overly complex, but I'll say it anyway.

I guess if you wanted to answer that, you would have to use a statistical way of calculating the forces required to end up in that situation given a set of input forces.

From that once you have an input distribution you could use a complicated evolving model like a stochastic process to formally describe the system you have in question.

I am not a physics major, but something akin to statistical mechanics would be your best bet.
 

1. What is the probability of a coin landing on its edge after a fair toss?

The probability of a coin landing on its edge after a fair toss is extremely low, with some sources estimating it to be around 1 in 6000 tosses. This is because the weight distribution of a coin is not evenly balanced, making it difficult for it to land on its edge.

2. Is it possible for a coin to consistently land on its edge after multiple tosses?

No, it is not possible for a coin to consistently land on its edge after multiple tosses. The probability of a coin landing on its edge remains the same for each toss, so it is highly unlikely for it to happen consistently.

3. What factors affect the likelihood of a coin landing on its edge?

The main factor that affects the likelihood of a coin landing on its edge is the weight distribution of the coin. A coin with a more symmetrical weight distribution is more likely to land on its edge compared to a coin with an uneven weight distribution.

4. Has a coin ever been proven to land on its edge after a fair toss?

There have been documented cases of coins landing on their edge after a fair toss, but it is rare and often disputed. In most cases, the coin may have been slightly tilted or caught on an object, causing it to balance on its edge.

5. Can a coin land on its edge if it is tossed with a specific technique?

There is no specific technique that can guarantee a coin to land on its edge. However, some techniques, such as spinning the coin instead of flipping it, may increase the chances of it landing on its edge due to the added centrifugal force.

Similar threads

  • Set Theory, Logic, Probability, Statistics
2
Replies
57
Views
2K
  • Set Theory, Logic, Probability, Statistics
4
Replies
126
Views
6K
  • Set Theory, Logic, Probability, Statistics
Replies
20
Views
3K
  • Set Theory, Logic, Probability, Statistics
2
Replies
45
Views
3K
  • Programming and Computer Science
Replies
10
Views
1K
  • Set Theory, Logic, Probability, Statistics
Replies
2
Views
4K
  • Set Theory, Logic, Probability, Statistics
Replies
16
Views
2K
  • Precalculus Mathematics Homework Help
Replies
4
Views
1K
  • Set Theory, Logic, Probability, Statistics
Replies
13
Views
3K
  • Set Theory, Logic, Probability, Statistics
Replies
4
Views
1K
Back
Top