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 Description  
 Sample Space:  The set of all possible outcomes from an experiment.

Sample space is usually represented by the capital letter S. Here are some examples of sample spaces:

  • A fair coin is flipped twice in a row. The possible outcomes are that we get a head on the first flip & a head on the second flip, a head on the first & a tail on the second, a tail on the first & a head on the second, or a tail on the first & a tail on the second. Therefore, the sample space, S, can be described like this: S = {HH, HT, TH, TT}.
  • A die is rolled and the number on the top face is recorded. All the integers from 1 to 6 are possible. So S = {1, 2, 3, 4, 5, 6}.
  • A pair of dice are rolled and the sum of the numbers on the top faces is recorded. The smallest sum is 1 + 1 = 2; the largest is 6 + 6 = 12; and all the integers in-between are possible. So S = {2, 3, 4, ..., 11, 12}.