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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.
A sample space is usually denoted using set notation, and the possible ordered outcomes, or sample points, [5] are listed as elements in the set. It is common to refer to a sample space by the labels S, Ω, or U (for "universal set"). The elements of a sample space may be numbers, words, letters, or symbols.
In the previous example the probability of the set of outcomes ({,}) must be equal to one, because it is entirely certain that the outcome will be either or (the model neglects any other possibility) in a single coin toss. Not every subset of the sample space must necessarily be considered an event: some of the subsets are simply not of ...
Determining the sex ratio in a large group of an animal species. Provided that a small random sample (i.e. small in comparison with the total population) is taken when performing the random sampling of the population, the analysis is similar to determining the probability of obtaining heads in a coin toss.
Before the box is selected, there is one sample space consisting of three elements: {box GG, box GS, and box SS}. After a box is selected, there are three sample spaces, each with only one element: {box GG}, {box GS} and {box SS}. The probability for each is simple: divide the number of elements that meet the criterion by the total number of ...
A trip to Rome is not complete without a coin toss backward into the Trevi for the promise of one day returning to the city. ... "Three Coins in the Fountain" cast members throw their loose change ...
In probability theory, a tree diagram may be used to represent a probability space. A tree diagram may represent a series of independent events (such as a set of coin flips) or conditional probabilities (such as drawing cards from a deck, without replacing the cards). [1]
Three senators are running in a secret ballot election Wednesday for the leadership spot: Senate Minority Whip John Thune of South Dakota, John Cornyn of Texas, and Rick Scott of Florida.