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Here, an "event" is a set of zero or more outcomes; that is, a subset of the sample space. An event is considered to have "happened" during an experiment when the outcome of the latter is an element of the event. Since the same outcome may be a member of many events, it is possible for many events to have happened given a single outcome.
Although each run would show a distinctive shape over a small number of throws (at the left), over a large number of rolls (to the right) the shapes would be extremely similar. In probability theory , the law of large numbers ( LLN ) is a mathematical law that states that the average of the results obtained from a large number of independent ...
An event, however, is any subset of the sample space, including any singleton set (an elementary event), the empty set (an impossible event, with probability zero) and the sample space itself (a certain event, with probability one). Other events are proper subsets of the sample space that contain multiple elements. So, for example, potential ...
For a sample of only 1,000 independent trials, however, the probability that the event does not happen in any of them, even once (improbability), is only [8] 0.999 1000 ≈ 0.3677, or 36.77%. Then, the probability that the event does happen, at least once, in 1,000 trials is ( 1 − 0.999 1000 ≈ 0.6323, or ) 63.23%. This means that this ...
The sport of athletics is defined by the many events which make up its competition programmes. All events within the sport are forms of running, walking, jumping or throwing. These events are divided into the sub-sports of track and field, road running, racewalking and cross country running.
First-run syndication refers to programming that is broadcast in the United States for the first time as a syndicated show. Some programs, such as Jeopardy! and Punky Brewster , aired on networks and via first-run syndication at different points during their runs.
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Marathons are often aired on holidays (such as Syfy's annual The Twilight Zone marathon on New Year's Day, and Game Show Network airing a Charles Nelson Reilly-hosted marathon of game show series finales on New Year's Eve in 1999), [43] [44] as counterprogramming for major events airing on other channels (such as the Super Bowl in the U.S ...