sample space
is the list of all possible outcomes.
In probability theory, sample space is a set of all possible outcomes of a random experiment. It is denoted by the letter S. For example, if we toss a fair coin, the possible outcomes are either heads (H) or tails (T). Thus, the sample space is S = {H, T}.
Another example is rolling a standard die. The possible outcomes are the numbers 1, 2, 3, 4, 5, and 6. Hence, the sample space is S = {1, 2, 3, 4, 5, 6}.
It is important to note that the sample space includes all possible outcomes, regardless of how likely or unlikely they are to occur. Additionally, the outcomes in the sample space are mutually exclusive, meaning that only one outcome can occur at a time.
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