Which of the following sample spaces correctly lists all the possible outcomes for flipping a coin and rolling a number cube? Let head be H and tail be T.
1.) H-1, H-2, H-3, H-4, H-5, H-6
2.) H-1, T-1, H-2, T-2, H-3, T-3, H-4, T-4, H-5, T-5, H-6, T-6
3.) H-1, H-2, H-3, T-4, T-5, T-6
I don't understand this question at all, Can someone Please help!!
This question is asking you to list out all the possible outcomes when flipping a coin and rolling a number cube.
For the coin, there are two possibilities: heads (H) or tails (T).
For the number cube, there are six possibilities: rolling a 1, 2, 3, 4, 5, or 6.
To list out all the possible outcomes for both events, you need to create all possible combinations of H/T and 1-6.
Option 1 only lists outcomes for one possibility (heads) and the number cube.
Option 2 correctly lists all possible outcomes for both the coin and the number cube.
Option 3 only lists outcomes for heads and the first three numbers on the number cube, leaving out all tails and the last three numbers on the cube.
Therefore, the correct answer is Option 2: H-1, T-1, H-2, T-2, H-3, T-3, H-4, T-4, H-5, T-5, H-6, T-6.