Final answer:
When a fair die is tossed in a game, a die is rolled, which has six possible outcomes. Tossing a fair coin is a fair method with a 50% chance of landing on either heads or tails. Combining a coin toss and a die roll results in 12 possible outcomes.
Step-by-step explanation:
When a fair die is tossed in the particular game described, the correct answer is C) A die is rolled. The rolling of a die is a random event with six possible outcomes, each representing a side of the die with dots numbered from 1 to 6. A fair die means that each of these outcomes has an equal chance of occurring.
Tossing a coin as a way to decide who goes first in a competition is fair because a coin has two sides - heads (H) and tails (T) - and if the coin is fair, each side has an equal probability of 1/2 to land face up. Therefore, if you choose heads, the chance that the coin toss will go your way, meaning landing on heads, is 1/2 or 50%.
If you flip a fair coin and roll a fair six-sided die, you have a total of 12 possible outcomes, given by multiplying the number of outcomes of the coin (2) by the number of outcomes of the die (6). These outcomes can be listed as H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, and T6.