Assuming we've got a long random string composed of the letters H and T, and only those two letters, which of the patterns "HTH" or "HTT" (overlap not allowed) do you think will occur more frequently?
For example, if overlap is not allowed, in the string "HTHTHTTH", both "HTH" and "HTT" occur once. However, if we allow for overlap, then "HTH" occurs twice and "HTT" once.
So, the question is, which of the patterns "HTH" or "HTT" (without overlap) do you think will occur more frequently? Will "HTH" occur at a higher, the same or lower frequency than "HTT".
You must give an answer.
To find out the answer run the Simulation application written in Java.
This question is an adaptation of the question asked by Peter Donnelly in his TED presentation on "How juries are fooled by statistics."