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A tossing game you sure win


harey
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The only way I win is if the first three flips are HHH. Once a T appears in the sequence, it becomes impossible for me to win, since at that point THH is guaranteed to occur prior to HHH. So overall, I have a 1/8 chance of winning $3 and a 7/8 chance of losing $1; not worth the gamble.

^_^
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Now, I have a problem.

witzar was the first to answer and his answer is correct.
ThunderCloud answered 1 minute later and his explication is clearer.

Can I attribute two Best Answers?

Anyway, congratulations to both that they did not fell into the trap.

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Now, I have a problem.

witzar was the first to answer and his answer is correct.

ThunderCloud answered 1 minute later and his explication is clearer.

Can I attribute two Best Answers?

Anyway, congratulations to both that they did not fell into the trap.

This happens from time to time. Only one can be marked.

It's your choice. Best is not always first.

Sometimes "showing your work" makes for an instructive as well as a correct answer.

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This type of game is widely known as "Penney's Game". The Penney is Walter Penny who made quite a few puzzles in the 60's and 70's.

I posted nearly 50 of his puzzles (from unpublished papers of his) a few years ago on this forum. You can look at some of them if you search

for Penney on this site. They are quite clever puzzles!

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