Sample Space for Dice and Coins

Sample Space for Die and Coins PROBABILITY

The sample space is the set of all possible outcomes in an experiment. Sample Space is denoted by S. Each element of S represents a Sample Point.

Single Coin: If a single coin is tossed, the sample space S is given by
S = {H, T} and n(S) = 2

Two Coins:  If two coins are tossed, the sample space S is given by
S = {HH, HT, TH, TT} and n(S) = 4

Three Coins:  If three coins are tossed, the sample space S is given by
S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT} and n(S) = 8

Single Die: If a single die is rolled, the sample space S is given by
S = {1,2,3,4,5,6} and n(S) = 6
Two Dice: If two dice are rolled, the sample space S is given by
S = { (1,1),(1,2),(1,3),(1,4),(1,5),(1,6)
(2,1),(2,2),(2,3),(2,4),(2,5),(2,6)
(3,1),(3,2),(3,3),(3,4),(3,5),(3,6)
(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)
(5,1),(5,2),(5,3),(5,4),(5,5),(5,6)
(6,1),(6,2),(6,3),(6,4),(6,5),(6,6) } and n(S) = 36