28 Jul '11 16:41>
Originally posted by AThousandYoungYes, I think it's the dot.
Probably too long, or perhaps you're not allowed to use punctuation.
Originally posted by AnthemWouldn't that depend on just how biased the coin is? Suppose one half of the coin is made of aluminum and the other of lead, could be like it was cut in two across the diameter and one half aluminum and the other half lead and then soldered together or the front face lead halfway through and aluminum on the other half. There would be a large bias that could be easily detected and noticed in a smaller number of flips.
A solution: [hidden] If I am understanding his post correctly, AThousandYoung got the solution that I was thinking of. In more detail: You each flip the coin once. If one person gets heads and the other gets tails the one who got heads wins. Repeat until someone wins. Palynka's solution also works. [/hidden]
sonhouse - You do not know what the bias is. If ...[text shortened]... es), you can only approximate the bias and thus cannot assure that the toss is completely fair.
Originally posted by sonhouseAs long as the bias is not such that it is ALWAYS heads or tails then it works and it doesn't depend on anything else. If the bias such such that it is ALWAYS heads or tails then there isn't any possibility to use it as a random number generator.
Wouldn't that depend on just how biased the coin is? Suppose one half of the coin is made of aluminum and the other of lead, could be like it was cut in two across the diameter and one half aluminum and the other half lead and then soldered together or the front face lead halfway through and aluminum on the other half. There would be a large bias that could ...[text shortened]... the probability of a coin toss being random gets closer to one. Randomness=1, totally biased=0.
Originally posted by iamatigerOriginal!
How about:
Flip the coin once, then flip it as many times as you need until it comes up with something different. The number of consecutive identical throws is your score.
Then the other person plays, he wins if he beats your score. Throw again if you are equal.
Originally posted by iamatigerThat could be tedious if it took 300 flips to make a dif. Of course that would come close to the always heads or tails thing. So lets make it 20 flips. Still a chronologic challenge. The other person maybe has to do 30 so time would certainly add up. Of course if you were two prisoners....
How about:
Flip the coin once, then flip it as many times as you need until it comes up with something different. The number of consecutive identical throws is your score.
Then the other person plays, he wins if he beats your score. Throw again if you are equal.
Originally posted by AnthemReveal Hidden Content
You and your roommate are trying to decide who gets the last piece of pizza. You decide to flip a coin to choose who gets the slice, but the only coin you have is biased (that is, there is a x% chance of the coin coming up heads on each flip where x is between 0 and 100, but is not 50).
How can you use the results of flipping this coin to fairly decide who gets the slice?
Originally posted by JS357Here is a solution I found, and take no credit for. If you are interested.
[hidden]Test of hidden[/hidden]
Originally posted by JS357That way works too, and I agree my way takes most throws.
Here is a solution I found, and take no credit for. If you are interested.
Way down below because I don't trust hidden.
[b][hidden]One player chooses HT the other TH, flip till HT or TH occurs and stop, the person who chooses the one that occurs wins.[/hidden][/b]
Originally posted by iamatigerMy solution would be for each player to flip until he gets "heads" and the person to do it in less flips wins.
That way works too, and I agree my way takes most throws.
Originally posted by JS357This is no different than having one player call the first toss while it's in the air, and doesn't work at all if the players know what the bias on the coin is.
Here is a solution I found, and take no credit for. If you are interested.
Way down below because I don't trust hidden.
[b][hidden]One player chooses HT the other TH, flip till HT or TH occurs and stop, the person who chooses the one that occurs wins.[/hidden][/b]