Question

Sam is playing a game where he flips a coin and rolls a number cube labeled 1 through 6. He listed the possible outcomes in the sample space shown below:

{(H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (T, 1), (T, 2), (T, 3), (T, 5), (T, 6)}

Which two elements did he leave out?

(H, 4) and (H, 6)
(H, 6) and (T, 4)
(H, 4) and (T, 6)
(T, 4) and (T, 6)

Answer 1

H,6 and T,4 easy to miss them

Answer 2

Answer: The correct elements are (B) (H, 6) and (T, 4).

Step-by-step explanation: Given that Sam is playing a game where he flips a coin and rolls a number cube labeled 1 through 6.

He listed the possible outcomes in the sample space as follows:

S' = {(H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (T, 1), (T, 2), (T, 3), (T, 5), (T, 6)}.

We are to find the two elements that he left out while writing the sample space.

The complete sample space is given by

S = {(H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (H, 6), (T, 1), (T, 2), (T, 3), (T, 4), (T, 5), (T, 6)}

All the elements of S are in S' except (H, 6) and (T, 4).

So, Sam left out the elements (H, 6) and (T, 4).

Thus, (B) is the correct option.