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Player A selects a sequence of heads and tails (of length 3 or larger), and shows this sequence to player B. Player B then selects another sequence of heads and tails of the same length. Subsequently, a fair coin is tossed until either player A's or player B's sequence appears as a consecutive subsequence of the coin toss outcomes. The player ...
Imagine tossing a coin, if the coin comes up heads, a green ball is placed into a box; if, instead, the coin comes up tails, two red balls are placed into a box. We repeat this procedure a large number of times until the box is full of balls of both colours. A single ball is then drawn from the box.
The three-way flip is 75% likely to work each time it is tried (if all coins are heads or all are tails, each of which occur 1/8 of the time due to the chances being 0.5 by 0.5 by 0.5, the flip is repeated until the results differ), and does not require that "heads" or "tails" be called.
If one penny is heads and the other tails, Odd wins and keeps both coins. Matching pennies is a non-cooperative game studied in game theory. It is played between two players, Even and Odd. Each player has a penny and must secretly turn the penny to heads or tails. The players then reveal their choices simultaneously.
Feller's coin-tossing constants are a set of numerical constants which describe asymptotic probabilities that in n independent tosses of a fair coin, no run of k consecutive heads (or, equally, tails) appears. William Feller showed [1] that if this probability is written as p(n,k) then
Where the money goes. Some well-known fountains can collect thousands of dollars in coins each year. According to an NBC report from 2016, the Trevi Fountain accumulated about $1.5 million in ...
(Some versions of the game may vary this number.) The coins may be of any denomination, and the values of the coins are irrelevant: in fact, any suitable objects could be used in place of coins, e.g. matches. For the first round an initial player is selected in some fashion, such as spinning a burnt match to see who it points at.
Outside view of the two-up shed in Kalgoorlie, Western Australia. Two original 1915 Australian pennies in a kip from which they are tossed. 1915 is significant as the year of the Gallipoli campaign which is remembered annually on Anzac Day Australian soldiers playing two-up during World War I at the front near Ypres, 23 December 1917 Painting of two-up game.