Originally posted by

**Mysc**View PostCalculations:

Flip H -> Roll a 6 = 1/2 * 1/6 = 1/12

Flip T -> Flip H -> Roll a 6 = 1/2 * 1/2 * 1/6 = 1/24

Therefore 1/12 + 1/24 = 3/24 = 1/8

We did agree that this problem is horribly worded since what's stopping us from doing more flips if we get for example 2 tails, then we get the sequence

Flip T -> Flip T -> Flip H -> Roll a 6, etc.

If we continue in this fashion then we get the geometric sum:

\sum_{i=1}^{\infty} \frac{1}{6} (\frac{1}{2})^{n} which converges to 1/6

Feel free to comment on our solution.

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