If a person flips a coin and then rolls a six dash sided die , describe the sample space of possible outcomes using Upper H comma Upper T for the coin outcomes and 1 comma 2 comma 3 comma 4 comma 5 comma 6 for the die outcomes. (Make sure your answers reflect the order stated.)

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) }