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(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 :
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.
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 ...
If you’re stuck on today’s Wordle answer, we’re here to help—but beware of spoilers for Wordle 1255 ahead. Let's start with a few hints.
The critics are having their say on the best movies of the year. The 2025 Critics Choice Awards gala, hosted by Chelsea Handler, will broadcast live on E! on Sunday, Jan. 12 from 7 to 10 p.m. ET ...
This is not the case for arbitrary coin systems or even some real world systems, though. For instance, if we consider the old (now withdrawn) Indian coin denominations of 5, 10, 20 and 25 paise, then to make 40 paise, the greedy algorithm would choose three coins (25, 10, 5) whereas the optimal solution is two coins (20, 20).
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.