Final answer:
The event with a sample space of S = {h, t} is flipping a fair, two-sided coin as it results in two possible outcomes, heads (h) and tails (t).
Step-by-step explanation:
The event that will have a sample space of S = {h, t} is flipping a fair, two-sided coin. This event contains only two possible outcomes, which are heads (h) and tails (t). Other options like rolling a six-sided die, spinning a spinner with three sections, or choosing a tile with different letters, result in different sample spaces.
When you flip one fair coin, there is a 50% chance it will land on heads and a 50% chance it will land on tails. This creates a sample space with two unique outcomes. A good example of this is if you flip a fair dime and a fair nickel, the sample space is {HH, TH, HT, TT}, but this is for two coin flips, not one. In a single coin flip scenario, we are only concerned with the first part of each pair, effectively reducing our sample space to {H, T}.