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
Bonded warehouse is a storage area under Customs authority that is imported dutiable goods on which duty is unpaid and these are stored. Once the duty & other charges are paid the

1. Passive losses are fully deductible as long as they do not exceed $50,000 during the year. A) True B) False 2. Wages are considered "active income." A) True B) False 3. A de

1. Mention the characteristics of Statistics. Explain any two applications of Statistics.

The present value (price) formula for a coupon bond is: PV = C/(1+i) + C/(1+i) 2 + ... + C/(1+i) n + F/(1+i) n Part a The present value (price) formula for a zero cou

The "recoverytime" files record the time (in days) for male blue-collar workers to recover from a common wrist fracture. Each man was given a questionnaire to complete to determine


Definition of brand loyalty is termed as the commitment towards a particular brand. Brand loyalty is the perception of a brand in consumer’s mind which is used as leads him/her to

Consider the following pre-merger information concerning two firms, Mokhaba Manufacturers and Mabhida Merchants:  Data

The Video Club Martin rents movies at "regular price" andat  "half price". Usually if the films are regularly priced one day, they will be at regular price the next day with probab

Research Question: Percentage of students who drank a can, bottle, or glass of soda or pop (not including diet soda or diet pop) at least 1 time per day during the seven days