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)

 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.