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wiki:donuts:springsummer2014

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wiki:donuts:springsummer2014 [2014/07/25 14:22]
jmb438
wiki:donuts:springsummer2014 [2014/08/27 16:16] (current)
jmb438
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 ===== Chess ===== ===== Chess =====
  
-Place 5 white queens and 3 black kings on a 5x5 chess board so that none of the kings are in check.+Place 5 white queens and 3 black kings on a 5x5 chess board so that none of the kings are in check. ​((Mitch Burnett, July 2))
  
 [[wiki:​donuts:​springsummer2014:​answers:​chess|answer]] [[wiki:​donuts:​springsummer2014:​answers:​chess|answer]]
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 [[wiki:​donuts:​springsummer2014:​answers:​coins|answer]] [[wiki:​donuts:​springsummer2014:​answers:​coins|answer]]
 +
 +===== Cops =====
 +
 +There are two cops on a one way street. They are determined to pull over anyone breaking the law. A taxi driver is going down the street the wrong direction, but the cops do not pull him over. Why not? ((Dr. Warnick, July 16))
 +
 +[[wiki:​donuts:​springsummer2014:​answers:​cops|answer]]
  
 ===== Matchstick Triangles ===== ===== Matchstick Triangles =====
  
-Arrange nine matchsticks so that they form three equilateral triangles like the image below. By moving ​only three sticks, can you form four equilateral triangles ? Sticks cannot be broken or overlapped. All nine sticks must be used. ((Richard Black, July 22))+Arrange nine matchsticks so that they form three equilateral triangles like the image below. By moving three sticks, can you form four equilateral triangles ? Sticks cannot be broken or overlapped. All nine sticks must be used. ((Richard Black, July 22))
  
 {{:​donutquestions:​matchtri.png?​100|}} {{:​donutquestions:​matchtri.png?​100|}}
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 [[wiki:​donuts:​springsummer2014:​answers:​matchtrianges|answer]] [[wiki:​donuts:​springsummer2014:​answers:​matchtrianges|answer]]
  
 +===== Odd Sum =====
 +
 +What is the sum of the first 50 odd digits? ((Josh Sypherd, July 29))
 +
 +[[wiki:​donuts:​springsummer2014:​answers:​oddsum|answer]]
 +
 +===== Connect The Dots =====
 +
 +Can you connect these dots without lifting your pen with only four straight lines ((Mark Ruzindana, Aug 13))
 +
 +{{:​donutquestions:​dots.png?​100|}} ​
 +
 +[[wiki:​donuts:​springsummer2014:​answers:​dots|answer]]
 +
 +===== Merciful Jailor =====
 +
 +You are a prisoner awaiting execution. Your jailor comes to your cell the night before and tells you he will make a deal with you. He shows you two urns: one has 10 red disks and the other has 10 green disks. He tells you that in the morning he will choose a disk while blindfolded. He continues by saying that he will leave the urns and disks with you for the night, and you can choose how the disks are distributed between the two urns. If the disk he chooses is green, he will let you live. If he chooses a red disk, you will be executed. If the jailor takes off his blindfold and doesn'​t see the original 20 disks, you will be executed. He will continue searching for a disk until he finds one, so if an urn is empty he will pick a disk from the other urn.
 +
 +If you leave the urns as they are, you have a 50% chance of the jailor choosing a green disk. Is there a way to rearrange the disks to improve your odds? What is the best probability you have of living? ((Dr. Jeffs, Aug 20))
 +
 +[[wiki:​donuts:​springsummer2014:​answers:​jail|answer]]
 +
 +===== Dice Game =====
 +
 +Two men, Ben and Jerry, are playing a dice game. The dice faces are colored either red or blue. To play the game, each player rolls two dice. If the colors on both of the dice are the same, Ben wins. If the colors are different, Jerry wins. One of the die has 5 red faces and 1 blue face. How should the second die be colored to ensure that both players have an equal chance of winning? ((Richard Black, Aug 27))
 +
 +[[wiki:​donuts:​springsummer2014:​answers:​dice|answer]] ​
 ===== Questions Asked ===== ===== Questions Asked =====
 | Junming Diao | 3 | | Junming Diao | 3 |
-| Dr. Jeffs | 2 | 
-| Josh Sypherd | 2 | 
 | Jay Brady | 3 | | Jay Brady | 3 |
-| Richard Black | |+| Josh Sypherd | 3 | 
 +| Dr. Jeffs | 3 | 
 +| Richard Black | 3 | 
 +| Dr. Warnick ​ | 1 | 
 +| Mitch Burnett | 1 | 
 +| Mark Ruzindana | 1 |
  
  
wiki/donuts/springsummer2014.1406319753.txt.gz · Last modified: 2014/07/25 14:22 by jmb438