Question: A man challenges you to a coin flipping contest. One of you must flip heads, then tails, then heads. The other must flip heads, then tails, then tails. Whoever succeeds in fewer flips is the winner.
Which should you choose?
Answer: You should pick heads, tails, and tails. Both of them begin with heads then tails, giving you an equal chance of getting the first two. But if you have tails for the final flip and don't get it you are still 1/3 of the way through the sequence. If you have heads for the final flip and miss it you must start all over trying to get the sequence.