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This article describes experimental procedures for determining whether a coin is fair or unfair. There are many statistical methods for analyzing such an experimental procedure. This article illustrates two of them. Both methods prescribe an experiment (or trial) in which the coin is tossed many times and the result of each toss is recorded.
"Circulating Coins Production data". United States Mint. Archived from the original on March 14, 2016. United States Mint. Archived 2017-01-31 at the Wayback Machine; Archived 2007-03-14 at the Wayback Machine dead links "50 STATE QUARTERS". COINSHEET. Archived from the original on October 27, 2007. "Pennies Minted by the U.S. Mint from 1970 to ...
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.
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.
While a run of five heads has a probability of 1 / 32 = 0.03125 (a little over 3%), the misunderstanding lies in not realizing that this is the case only before the first coin is tossed. After the first four tosses in this example, the results are no longer unknown, so their probabilities are at that point equal to 1 (100%).
One is easily scalable to a higher number of coins by using base-three numbering: labelling each coin with a different number of three digits in base three, and positioning at the n-th weighing all the coins that are labelled with the n-th digit identical to the label of the plate (with three plates, one on each side of the scale labelled 0 and ...
According to authorities in the coin hunting community, collectors should be looking for U.S. coins that contain significant percentages of silver. Dimes, quarters, and half-dollars minted before ...
Coin values can be modeled by a set of n distinct positive integer values (whole numbers), arranged in increasing order as w 1 through w n.The problem is: given an amount W, also a positive integer, to find a set of non-negative (positive or zero) integers {x 1, x 2, ..., x n}, with each x j representing how often the coin with value w j is used, which minimize the total number of coins f(W)