Sample Space
In probability theory, the term “sample space” refers to the set of all possible outcomes of a random experiment
In probability theory, the term “sample space” refers to the set of all possible outcomes of a random experiment. It is denoted by the symbol S.
For example, when we roll a fair six-sided die, the sample space consists of all possible outcomes, which are the numbers 1, 2, 3, 4, 5, and 6.
In another example, if we toss two coins, the sample space consists of four possible outcomes: (H, H), (H, T), (T, H), and (T, T), where H represents heads and T represents tails.
The sample space is a fundamental concept in probability theory as it helps us analyze the likelihood of different outcomes occurring in a given experiment or situation. By studying the sample space, we can determine the probability of specific events within that space.
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