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Five coin flips. Any outcome on a six-sided die has a probability of 1 in 6. If I assume that the order of the outcome does not matter, the same probability can be achieved with five flips of the coin.

The possible outcomes of five flips of a coin are as follows:

5 Heads

5 Tails

4 Heads and 1 Tails

4 Tails and 1 Heads

3 Heads and 2 Tails

3 Tails and 2 Heads

For six possible outcomes.

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Q: What is the expected number of flips of a coin to simulate a six-sided die?
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