Homework2 ECE302Fall2008sanghavi - Rhea

Instructions

Homework 2 can be downloaded here on the ECE 302 course website.

Problem 1: Unfair Coin Game

Bob, Carol, Ted and Alice take turns (in that order) tossing a coin with probability of tossing a Head, $$ P (H) = p $$ , where $$ 0 < p < 1 $$ . The first one to toss a Head wins the game. Calculate $$ P(B) $$ , $$ P(C) $$ , $$ P(T) $$ , and $$ P(A) $$ , the win probabilities for Bob, Carol, Ted and Alice, respectively. Also show that

(a) $$ P (B) > P (C) > P (T ) > P (A) $$
(b) $$ P (B) + P (C) + P (T ) + P (A) = 1 $$

HW 2.1 Sahil Khosla _ECE302Fall2008sanghavi

HW2.1 Chris Cadwallader_ECE302Fall2008sanghavi

Problem 2: Stadium Mingling

In how many ways can 8 people be seated in a row if

(a) there are no restrictions on the seating arrangement;
(b) persons $$ A $$ and $$ B $$ must sit next to each other;
(c) there are 4 men and 4 women and no 2 men or 2 women can sit next to each other;
(d) there are 5 men and they must sit next to each other;
(e) there 4 married couples and each must sit together?

HW2.2 Sujay Sanghavi_ECE302Fall2008sanghavi

HW2.2 Brian Thomas_ECE302Fall2008sanghavi - On how to simplify the problem

HW2.2 Evan Clinton_ECE302Fall2008sanghavi

HW2.2 Josh Long_ECE302Fall2008sanghavi - A's & Q's