What is the sample space if a coin is tossed until the first time it comes up heads?

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To determine the sample space, we simply need to refer to the definition. According to the link below, a sample space is the set of all possible outcomes. Therefore, we have to examine what outcomes are possible for this experiment!

We know that we will toss the coin until it comes up heads. This tells us what our sample space may look like! Let's just try a few examples. Suppose we have heads come up on the first toss. In this case, we stop immediately because we have a heads! Now, suppose it came up tails. Then we flip the coin again and repeat the process.

So, we can extend...

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