A sample space is the set of all possible outcomes of an experiment.
"S" is usually used to represent the sample space.
"n(S)" represents the number of outcomes in the sample space.
Experiment: Flipping a coin.
Let "H" represent the outcome of getting a head, and let "T" represent the outcome of getting a tail.
S: { H, T }
n(S) = 2
Experiment: Flipping two different coins.
Let "H" represent getting a head, and let "T" represent getting a tail.
S: { HH, HT, TH, TT }
n(S) = 4
Experiment: Tossing a die.
Let each face be represented by a numeral of the number of dots on the face.
S: { 1, 2, 3, 4, 5, 6 }
n(S) = 6
Experiment: Tossing a pair of dice.
If each face on the yellow die is represented by a yellow numeral of the number of dots on the face, and each face on the blue die is represented by a blue numeral of the number of dots on the face; the following represents the sample space (S):
n(S) = 36