How many outcomes are possible when flipping a coin and rolling a dice? create a sample space.
When flipping a coin and rolling a dice, there are a total of 12 possible outcomes. This is because there are 2 outcomes when flipping a coin (heads or tails) and 6 outcomes when rolling a dice (numbers 1-6), and the total number of outcomes is the product of the individual outcomes (2 x 6 = 12).
Sample space:
{H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6}
(H represents heads, T represents tails, and the numbers represent the outcomes of rolling a dice)