Answer:
Sample Space (S) = { (1,H), (1,T), (2,H), (2,T), (3,H), (3,T), (4,H), (4,T), (5,H), (5,T), (6,H), (6,T) }
Step-by-step explanation:
If a person flips a coin; the possible outcomes of flipping a coin are { Head (H), Tail (T) }
If a person rolls a six dash side die, the possible outcomes of rolling a dice are { 1, 2, 3, 4, 5, 6 }
Now, If a person flips a coin and then rolls a six dash side die;
The Sample Space (S) which is the set of all the possible outcomes of the activities carried out can be described as follows:
DIE COIN →
↓
H T
1 (1,H) (1,T)
2 (2,H) (2,T)
3 (3,H) (3,T)
4 (4,H) (4,T)
5 (5,H) (5,T)
6 (6,H) (6,T)
Sample Space (S) = { (1,H), (1,T), (2,H), (2,T), (3,H), (3,T), (4,H), (4,T), (5,H), (5,T), (6,H), (6,T) }
, then