penny''s game, Basic Statistics

(Penney’s game) Independent flips of a biased coin that lands on heads with probability 0.7 are made. Each of two players, A and B, had chosen one out of the eight triplet: {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT} and the player whose triplet occurs first wins. For example, suppose A had chosen HHT and B had chosen THT. Then if the flipped coin shows the sequence HHHT..., A wins; and if the flipped coin shows the sequence TTTHT..., B wins. Since the coin is biased towards heads, the triplet HHH seems to be a good choice.
(a) What is the probability that the pattern THH occurs before the pattern HHH? (b) What is the probability that the pattern HTH occurs before the pattern THH? (c) What is the probability that the pattern HHH occurs before the pattern HTH? (d) Comment on the above results.
Posted Date: 9/30/2012 1:48:43 PM | Location : United States







Related Discussions:- penny''s game, Assignment Help, Ask Question on penny''s game, Get Answer, Expert's Help, penny''s game Discussions

Write discussion on penny''s game
Your posts are moderated
Related Questions
What is samplings and its methods


example of descriptive statistics in word form

Definition of Management Accounting According to the Chartered Institution of Control Agency (CIMA), Control Sales is "the procedure of recognition, statistic, build up, researc

#multiple linear regression of y on x1 & x2 from data relating to 3 variables i.e y=4,6,77,9,13,15 x1=15,12,8,6,4,8 x2=30,24,20,14,10,4


What is a sole proprietorship? A sole proprietorship is a form of business organization that is owned by one person. The owner is referred to as a sole proprietor. In accoun

Tim Snyder and Jay Wise have decided to form a partnership. They have agreed that Snyder is to invest 30000 and Wise is to invest 40000. Snyder is to devote full time to the busi

solving problem in skewness and kurtosis?

Annuity A sequence of equivalent money payments made or obtained at equivalent durations over a specific time period.