If I flip a fair coin 100 times, is the sample space the same as if I only flip it one time?

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A fair coin can only be heads or tails. Does that mean the sample space for 100 flips is the same because each outcome can only be heads or tails.

IE

S = {h,t}

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The sample space for 100 flips is made of the $2^{100}$ different possible outcomes.

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The sample space is the set of all possible events.

In this case you have $2^{100}$ possible events.

Each event is a string of H and T of length $100.$