Question

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.)

Answer 1

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) }

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) }