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Guest Message by DevFuse
 

BMAD

Member Since 18 Feb 2013
Offline Last Active Yesterday, 01:55 AM
*****

Topics I've Started

The Risky Choice of Going to Work

12 December 2014 - 03:14 AM

I have to choose whether to go to work or stay at home on a particular day. If I go to work, I will earn $500 for the day and if I stay home, I earn nothing. If I go to work, there is a chance that I will be killed in a car accident, and if I stay home this risk is 0. Finally, I am expecting a shipment from UPS and this is their last attempted delivery. If I go to work, there is a 80% chance that UPS will attempt
delivery while I am at work and I will lose the package, and there is a 20% chance that UPS will attempt delivery after I get home and I will get it. If I stay home, I am certain to get the package.
 
My preference ordering is:
Living > dying
$500 > Package
 
My most preferred outcome is to live, and get both $500 and the package.

 

 

Your task, find that chance, percent of getting killed, that would make me indifferent about going to work.


Tug-o-war Claims

11 December 2014 - 01:49 AM

At a tug-o-war contest two teams are pitted against each other.  Team 1 has five players: Alice, Bob, Carol, Douglas, and Eric.  Team 2 also has five players: Frank, George, Harry, Ian, Jessica.  When both teams used all of their members, team 1 won.  When Team 1 and Team 2 each lost two players, it was a draw.  When two new mini-teams were formed with Alice and Frank competing against Bob and George, Bob and George won the contest.

 

Besides what was already given, what other claims could be made about individual or team strengths and of outcomes of other tug-o-war contests?


6 Squares and a Common Point

21 November 2014 - 02:43 PM

As a follow up to my circles problem:

 

Given six squares where any group of five have two common points.  Does there exist a common point for all 6?


Chess Tournament

18 November 2014 - 12:23 AM

Eight men had participated in the chess tournament. (Each meets each; draws are allowed, giving 1/2 of a point; winner gets 1.) Everyone has a different number of points. The second one has as many points as the four weakest participants together. 

 

What was the result of the play between the third prizer and the chess-player that have occupied the seventh place?

 

 

Five circles and common points

18 November 2014 - 12:21 AM

Given five circles where any group of 4 have a common point.  Does there exist a common point for all 5?