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<blockquote data-quote="Pielorinho" data-source="post: 1694661" data-attributes="member: 259">Jericho, did you play your game, using a consistent strategy? What results did you get?&nbsp;D'oh! I forgot a line. After you made your choice, I put your chosen egg in front of you, so now I only hold the two eggs you DIDN'T choose in my hands.Picking up from there, with one more change in italics:&nbsp;2) What are the chances that I'm holding the correct egg in my hand?&nbsp;[I see a 2/3 chance that I'm holding the correct egg] Now I hold two eggs in my hand. I choose one of the eggs in my hand that is hollow (I can tell them apart by their weight) and smash it against my forehead, demonstrating its lack of yolk to you. I THEN PUT THE SMASHED EGG BACK IN MY HAND.&nbsp;3) What are the chances that I'm holding the correct egg in my hand?[given that I'm holding exactly the same eggs I was holding after #2, I see a 2/3 chance that I'm holding the correct egg]&nbsp;Do you still think that the chances after #3 are 1/2? If so, how did my smashing an egg I knew to be false change the odds of my holding the correct egg? I'm still holding exactly the same eggs that I was holding after question #2.&nbsp;&nbsp;Daniel</blockquote>

[QUOTE="Pielorinho, post: 1694661, member: 259"] Jericho, did you play your game, using a consistent strategy? What results did you get? D'oh! I forgot a line. After you made your choice, [i]I put your chosen egg in front of you, so now I only hold the two eggs you DIDN'T choose in my hands.[/i] Picking up from there, with one more change in italics: 2) [b]What are the chances that I'm holding the correct egg in my hand?[/b] [I see a 2/3 chance that I'm holding the correct egg] Now I hold two eggs in my hand. I choose one of the eggs in my hand that is hollow (I can tell them apart by their weight) and smash it against my forehead, demonstrating its lack of yolk to you. [i]I THEN PUT THE SMASHED EGG BACK IN MY HAND.[/i] 3) [b]What are the chances that I'm holding the correct egg in my hand?[/b] [given that I'm holding exactly the same eggs I was holding after #2, I see a 2/3 chance that I'm holding the correct egg] Do you still think that the chances after #3 are 1/2? If so, how did my smashing an egg I knew to be false change the odds of my holding the correct egg? I'm still holding exactly the same eggs that I was holding after question #2. Daniel [/QUOTE]

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