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A fair coin, when tossed, should have an equal chance of landing either side up. In probability theory and statistics, a sequence of independent Bernoulli trials with probability 1/2 of success on each trial is metaphorically called a fair coin. One for which the probability is not 1/2 is called a biased or unfair coin.
(In practice, it would be more appropriate to assume a prior distribution which is much more heavily weighted in the region around 0.5, to reflect our experience with real coins.) The probability of obtaining h heads in N tosses of a coin with a probability of heads equal to r is given by the binomial distribution :
Frobenius coin problem with 2-pence and 5-pence coins visualised as graphs: Sloping lines denote graphs of 2x+5y=n where n is the total in pence, and x and y are the non-negative number of 2p and 5p coins, respectively. A point on a line gives a combination of 2p and 5p for its given total (green).
Tossing a coin. Coin flipping, coin tossing, or heads or tails is the practice of throwing a coin in the air and checking which side is showing when it lands, in order to randomly choose between two alternatives. It is a form of sortition which inherently has two possible outcomes. The party who calls the side that is facing up when the coin ...
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In Las Vegas, USA, luck is crucial to many visitors, and a lot of coins are tossed into fountains. While some of these coins are retrieved by passersby or lost in drainage systems, the majority are collected and donated to charity. The Bellagio Hotel alone donates around $12,000 annually from the coins collected from its musical fountain. [31]
With the loss, Saints quarterback Derek Carr made some ignominious history. The loss was the first in Carr's career in a game against Carolina. And Carr is now the first quarterback in NFL history ...
As visitors' coins splash into Rome's majestic Trevi Fountain carrying wishes for love, good health or a return to the Eternal City, they provide practical help to people the tourists will never meet.