6. Which of the following represents the sample space for rolling a six-sided die and tossing a coin? (1 point)
{1H, 2H, 3H, 4H, 5H, 6H, 1T, 2T, 3T, 4T, 5T, 6T}
*{1, 2, 3, 4, 5, 6}
{H, T}
{1, 2, 3, 4, 5, 6, H, T}
To determine the sample space for rolling a six-sided die and tossing a coin, we need to consider all possible outcomes for each event and then combine them.
First, let's list all possible outcomes for rolling a six-sided die: {1, 2, 3, 4, 5, 6}
Next, let's list all possible outcomes for tossing a coin: {H, T} (where H represents heads and T represents tails)
To find the sample space for both events combined, we need to consider all possible combinations of the outcomes. So we can pair each possible outcome of the die roll with each possible outcome of the coin toss.
For example, if the die shows a 1 and the coin lands heads up, we can represent that outcome as 1H. Similarly, if the die shows a 1 and the coin lands tails up, we can represent that outcome as 1T.
Combining all the possible outcomes, we get the following sample space:
{1H, 2H, 3H, 4H, 5H, 6H, 1T, 2T, 3T, 4T, 5T, 6T}
Therefore, the correct answer is:
{1H, 2H, 3H, 4H, 5H, 6H, 1T, 2T, 3T, 4T, 5T, 6T}