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I think ELM is right about the backwards thing. There are two numbers in Al's hands, one low and one high. There is exactly a 50% chance of either being uncovered first and therefore exactly a 50% chance Bob will be correct when he guesses higher or lower. Surely, the act of Bob "thinking of...
I see what you are saying now, but I still think there is something wrong with it. It clashes with the following way of looking at the situation:There are two numbers less than n+.5 in Al's hands, one of which is less than the other. Surely the chances of the lower one being uncovered first is...
Okay, so after some quick internet review of calculus, I have been reminded that 1/infinity only makes sense in terms of limits. The limit of 1/x as x approaches infinity = 0. I think this brings us back to my first question. If Bob could truly choose a random integer from an infinite number...
mytagid = Math.floor( Math.random() * 100 );document.write("This solution raises an interesting question. Is it even possible to produce a random integer of any value? That is, you can produce a random integer between 1 and 6 by rolling a die. But how do you produce a random integer between...
Here's one that has been called the the hardest recreational logical puzzle ever created.
Three gods A , B , and C are called, in some order, True, False, and Random. True always speaks truly, False always speaks falsely, but whether Random speaks truly or falsely is a completely random matter...
Let me try to explain this one. The solution requires each dragon to believe the other dragons have perfect logic.
Let's start with 3 dragons since some of you seem to think this is where the riddle breaks down. Dragon A sees that Dragon B and Dragon C have red eyes. He first considers what...
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