Analyze its running time for an n game match

Assignment Help Basic Computer Science

Reference no: EM131361563

The traditional world chess championship is a match of 24 games. The current champion retains the title in case the match is a tie. Each game ends in a win, loss, or draw (tie) where wins count as 1, losses as 0, and draws as 1/2. The players take turns playing white and black. White has an advantage, because he moves first. The champion plays white in the first game. He has probabilities w_w, w_d, and w_l of winning, drawing, and losing playing white, and has probabilities bw, bd, and bl of winning, drawing, and losing playing black.

(a) Write a recurrence for the probability that the champion retains the title. Assume that there are g games left to play in the match and that the champion needs to win i games (which may end in a 1/2).

(b) Based on your recurrence, give a dynamic programming to calculate the champion's probability of retaining the title.

Reference no: EM131361563

Questions Cloud

Find the amounts of the three parts of the investment : The first part of the investment earned 8% interest, the second 6%, and the third 9%. Total interest from the investments was $7200. The interest from the first investment was 4 times the interest from the second. Find the amounts of the three par..

Write a memo to the international accounting standards board : Write a brief memo to the International Accounting Standards Board (IASB) that will convince the board to adopt the tax method that provides the greatest tax benefit to corporations.

What extent does mill adequately clarify : To what extent does Mill adequately clarify and/or overcome the misinterpretations and objections raised by others against Utilitarianism?

Gender differences in entrepreneurship : Please ensure that the writer summarizes the current literature on female entrepreneurship as well as point out the limitations and gaps in knowledge. The topic is Gender Differences in Entrepreneurship.

Analyze its running time for an n game match : Write a recurrence for the probability that the champion retains the title. Assume that there are g games left to play in the match and that the champion needs to win i games (which may end in a 1/2).

Develop appropriate hypotheses : 1. Justify your selection of DV, IV, and Mediator or Moderator. Develop appropriate hypotheses. 2. Develop appropriate hypotheses. 3. Test your moderation hypothesis using SPSS.

Complete the production budget on the budgets tab : Complete the Production Budget on the Budgets tab below by using the information found in the budgeted balance sheet above.

Amounts of the three parts of the investment : The interest from the first investment was 4 times the interest from the second. Find the amounts of the three parts of the investment.

Find the marginal revenue for the production levels : Assume that a demand equation is given by q = 9000 minus 100p. Find the marginal revenue for the given production levels(values of q). (Hint: Solve the demand equation for p and use R(q)= qp.)

User Account

All Pages