Shelly and Andy are playing a game using a number cube and flips the coin. What are all possible outcomes during one turn? How many outcomes are in the sample space?
To find all possible outcomes during one turn of the game, we need to consider the possible outcomes of both the number cube and the coin flip.
1. Number Cube Outcomes: A standard number cube has six faces numbered from 1 to 6. Therefore, the possible outcomes of the number cube roll are 1, 2, 3, 4, 5, and 6.
2. Coin Flip Outcomes: A fair coin has two possible outcomes - heads (H) or tails (T).
To find all possible outcomes during one turn, we need to consider all the combinations of the number cube outcomes and the coin flip outcomes.
Number Cube Outcomes: 1, 2, 3, 4, 5, 6
Coin Flip Outcomes: H, T
Combining the two sets of outcomes, we get the following possible outcomes during one turn:
1H, 1T, 2H, 2T, 3H, 3T, 4H, 4T, 5H, 5T, 6H, 6T
Therefore, there are 12 possible outcomes in the sample space during one turn of the game.