Same Same but Different

When we flip 2 fair coins, they are either the same of they are different.

Which is more likely? They are the same, or they are different?

Equally likely They are different They are the same

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1 solution

Anthony Holm
Sep 14, 2016

As shown in the picture there are 4 equally likely arrangements that can result from flipping two coins: HH, HT, TH, TT. Exactly two have both coins on the same side, and two have them on different sides. Thus it is equally likely that the two coins will be the same as it is they'll be different.

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