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 theoretical studies, the assumption that a coin is fair is often made by referring to an ideal coin.
Some coins have been alleged to be unfair when spun on a table, but the results have not been substantiated or are not significant. There are statistical procedures for checking whether a coin is fair.
Read more about Fair Coin: Role in Statistical Teaching and Theory, Fair Results From A Biased Coin
Famous quotes containing the words fair and/or coin:
“A good leg will fall, a straight back will stoop, a black beard will turn white, a fair face will wither, a full eye will wax hollow, but a good heart, Kate, is the sun and the moon—or rather the sun and not the moon, for it shines bright and never changes, but keeps his course truly.”
—William Shakespeare (1564–1616)
“The oft-repeated Roman story is written in still legible characters in every quarter of the Old World, and but today, perchance, a new coin is dug up whose inscription repeats and confirms their fame. Some “Judæa Capta,” with a woman mourning under a palm tree, with silent argument and demonstration confirms the pages of history.”
—Henry David Thoreau (1817–1862)