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== Problem 1: Unfair Coin Game == | == Problem 1: Unfair Coin Game == | ||
| + | Bob, Carol, Ted and Alice take turns (in that order) tossing a coin with probability of tossing a Head, <math>P (H) = p</math>, where <math>0 < p < 1</math>. The first one to toss a Head wins the game. Calculate <math>P(B)</math>, <math>P(C)</math>, <math>P(T)</math>, and <math>P(A)</math>, the ''win probabilities'' for Bob, Carol, Ted and Alice, respectively. Also show that | ||
| + | |||
| + | *(a) <math>P (B) > P (C) > P (T ) > P (A)</math> | ||
| + | *(b) <math>P (B) + P (C) + P (T ) + P (A) = 1</math> | ||
| + | |||
[[ HW 2.1 Sahil Khosla _ECE302Fall2008sanghavi]] | [[ HW 2.1 Sahil Khosla _ECE302Fall2008sanghavi]] | ||
| − | + | ||
| + | [[HW2.1 Chris Cadwallader_ECE302Fall2008sanghavi]] | ||
== Problem 2: Stadium Mingling == | == Problem 2: Stadium Mingling == | ||
Revision as of 08:17, 18 September 2008
Contents
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
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
Problem 3: Trick Cards
HW2.3 Gregory Pajot_ECE302Fall2008sanghavi
HW2.3 Emily Blount_ECE302Fall2008sanghavi
Problem 4: Two-timer
HW2.4 Sujay Sanghavi_ECE302Fall2008sanghavi HW2.4 Zhongtian Wang_ECE302Fall2008sanghavi- general procedure
