Question

List all the elements of the sample space for the following experiment:

6 OF
You roll a die and toss a penny.
a (1, H), (2, H), (3, H), (4, H), (5, H), (6, H), (1, T), (2, T), (3, 1), (4, T), (5, T), (6, T)
b. (1, H), (2, H), (3, H), (4, H), (5, H), (6, H), (1, H), (2, H), (3, H), (4, H), (5, H), (6, H)
C. (1, 1), (2, 1), (3, 1), (4,T), (5, 1), (6, 1), (1, 1), (2, 1), (3, T), (4, T), (5, 1), (6, T)
d. (1, H), (3, H), (5, H), (2, T), (4, T), (6, T)

Answer 1

None

Explanation:

There are 6 numbers on a dice, 1, 2, 3, 4, 5, and 6 and a penny has a head and tail (unless it is a double headed coin). Therefore, you can roll 1 number and a head OR tail.

The answer is (1, H), (2, H), (3, H) , (4, H) , (5, H) , (6, H) , (1, T), (2, T), (3, T), (4, T), (5, T), and (6, T)

Unless for A. (3, 1) is (3,T) then A is the answer.

Unless for B. the second set of Heads are meant to be Tails then B is the answer. Same for option C. with Tails needing to include Heads.

D. is missing half of the number options for both Heads and Tails.