Write the sample space for whether a regular coin lands heads up, H, or tails up, T, when flipped.
The first thing we need to notice is the word sample space. Do you remember what that means? The sample space is the set of all possible outcomes of an experiment, and our experiment here is a coin that’s being flipped.
So here’s our coin, and when we flip this coin, there are two possible outcomes. The coin will land on heads or the coin will land on tails. Those are the only two options.
From there, we write that the sample space is equal to heads and tails. Whatever we find in the brackets are all the possible outcomes, which in this case there’re only two. A coin flip, when there’s only one coin being flipped, can land on either heads or tails. Sample space equals heads or tails.