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== Problem 3: Trick Cards == | == Problem 3: Trick Cards == | ||
| + | Three identically shaped cards are put into a hat. One of the cards is red on both sides, another is blue on both sides, and the third card has one blue side and one red side. One card is pulled at random out of the hat, and one of its faces is randomly looked at. It turns out to be red. What is the probability the other face of the SAME card is ALSO red? | ||
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[[HW2.3 Gregory Pajot_ECE302Fall2008sanghavi]] | [[HW2.3 Gregory Pajot_ECE302Fall2008sanghavi]] | ||
Revision as of 07:20, 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
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
Problem 3: Trick Cards
Three identically shaped cards are put into a hat. One of the cards is red on both sides, another is blue on both sides, and the third card has one blue side and one red side. One card is pulled at random out of the hat, and one of its faces is randomly looked at. It turns out to be red. What is the probability the other face of the SAME card is ALSO red?
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
