Strategy For More Than Three Bits
The optimal strategy for the first player (for any length of the sequence no less than 4) was found by J.A. Csirik (See References). It is to choose HTTTT.....TTTHH ( T's) in which case the second player's maximal odds of winning is .
Read more about this topic: Penney's Game
Famous quotes containing the words strategy and/or bits:
“... the generation of the 20s was truly secular in that it still knew its theology and its varieties of religious experience. We are post-secular, inventing new faiths, without any sense of organizing truths. The truths we accept are so multiple that honesty becomes little more than a strategy by which you manage your tendencies toward duplicity.”
—Ann Douglas (b. 1942)
“What in fact have I achieved, however much it may seem? Bits and pieces ... trivialities. But here they wont tolerate anything else, or anything more. If I wanted to take one step in advance of the current views and opinions of the day, that would put paid to any power I have. Do you know what we are ... those of us who count as pillars of society? We are societys tools, neither more nor less.”
—Henrik Ibsen (18281906)