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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.
The coin toss in cricket is more important than in other games because in many situations it can lead a team winning or losing the game. Factors such as pitch conditions, weather and the time of day are considered by the team captain who wins the toss. Now there are websites such as flip a coin online which domestic sports team use to toss the ...
The probability of 20 heads, then 1 head is 0.5 20 × 0.5 = 0.5 21 The probability of getting 20 heads then 1 tail, and the probability of getting 20 heads then another head are both 1 in 2,097,152. When flipping a fair coin 21 times, the outcome is equally likely to be 21 heads as 20 heads and then 1 tail.
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).
(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 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 ...
The second-floor patio of Palm Beach Gardens' Sandhill Crane Golf Club where police say a Florida man allegedly beat and drowned a golfer on Nov. 25, 2025.
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