# 55 30 15 15 20 p 0 f 0 30 35 54 0 0 0 15 0 25 75 0 0

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ns appears. Somewhat surprisingly player 2 has a considerable advantage in this game. No matter what player 1 picks, player 2 can win with probability 2/3. Suppose without loss of generality that player 1 picks a pattern that begins with H: case 1 2 3 4 Player 1 HHH HHT HTH HTT Player 2 THH THH HHT HHT Prob. 2 wins 7/8 3/4 2/3 2/3 Verify the results in the table. You can do this by solving six equations in six unknowns but this is not the easiest way. 1.61. At the New York State Fair in Syracuse, Larry encounters a carnival game where for one dollar he may buy a single coupon allowing him to play a guessing game. On each play, Larry has an even chance of winning or losing a coupon. When he runs out of coupons he loses the game. However, if he can collect three coupons, he wins a surprise. (a) What is the probability Larry will win the surprise? (b) What is the expected number of plays he needs to win or lose the game. 1.62. The Megasoft company gives each of its employees the title of programmer (P) or project manager (M). In any given ye...
View Full Document

## This document was uploaded on 03/06/2014 for the course MATH 4740 at Cornell University (Engineering School).

Ask a homework question - tutors are online