penny''s game, Basic Statistics

Assignment Help:
(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.

Related Discussions:- penny''s game

Cash accounting, Accounting system is one prevalent among agencies in volun...

Accounting system is one prevalent among agencies in voluntary sector. Transactions are registered in journals only when cash is in fact paid out or taken in. The primary virtue of

Why do organisations need a structure, Question 1: (a) The grouping of ...

Question 1: (a) The grouping of organisational activities (usually into ‘departments' or larger ‘divisions') will be done in different ways. Outline the criteria which can be u

Define how to make a histogram and a frequency distribution, 1. Describe tw...

1. Describe two graphs/tables and how they are used to examine data. 2. Why are graphs and tables useful when examining data? 3. Describe how to make a histogram and a freque

Measures of dispersion (variation), Measures of Dispersion (Variation) ...

Measures of Dispersion (Variation) A measure of dispersion is to measure the spread among values of observations in a data set. There are three commonly used measures of disper

Calculate the transition probabilities, Consider a person who repeatedly pl...

Consider a person who repeatedly plays a game of chance (gambling)with two results possible (win or lose) with a probability p = 0, 3 to win. If the person has bet x amount and if

Capital assets, Capital assets Assets which meet the state''s capitalizati...

Capital assets Assets which meet the state''s capitalization strategy such as ground: developments to l&: easements: buildings: leasehold improvements: means of transportation: or

What is a basis point?, What is a basis point? A base factor is a hundre...

What is a basis point? A base factor is a hundredth (1/100) of an amount factor. Indicated another way, one amount factor is equal to 100 base factors. This means that if an amo

Discrete event simulation output analysis, 1. Name several entities, attrib...

1. Name several entities, attributes, activities, events, and state variables for the following systems: (a) A cafeteria (b) A grocery store (c) A laundromat (d) A fast

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd