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In the wine/water mixing problem, one starts with two barrels, one holding wine and the other an equal volume of water. A cup of wine is taken from the wine barrel and added to the water. A cup of the wine/water mixture is then returned to the wine barrel, so that the volumes in the barrels are again equal.
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.
Cups made from glass, metal, pottery, and in the shape of drinking horns are also known since antiquity. The ancient Greek term for a drinking horn was simply keras (plural kerata , "horn"). [ 3 ] To be distinguished from the drinking-horn proper is the rhyton (plural rhyta ), a drinking-vessel made very loosely in the shape of a horn ...
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).
Think of it as a merry take on a mimosa: Pour 2 (or 3) parts Prosecco or Champagne to 1 part pomegranate juice in a flute, then plop in a sprig of fresh rosemary for garnish. That’s it. That’s it.
(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 :
The IRS just dropped a raft of changes, big and small, to the U.S. tax code that could shift how much you owe — or save — in 2025. From bigger deductions to higher limits on health-related ...
A cup of cooked butternut squash contains just 82 calories, and offers about 6.5 grams of fiber, 2 grams of protein, and essential nutrients like iron, potassium and magnesium.