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Discrete Probability Distribution ???

   Imagine you are in a game show, where

Now, let us start the money give-away!  There are 4 prizes hidden on a game board with 16 spaces.  One prize is worth $4000, another is worth $1500, and two are worth $1000.

But, wait!!!  You are also told that, in the rest of the spaces, there will be a bill of $50 that you have to pay to the host as a penalty for not making the "wise" choice.

OK, you are lucky that you only have to pay $50 for making a bad choice.  Imagine that you failed to answer the question asked by

in the Monty Python and the Holy Grail!

But, of course, it is a much kinder and gentler world now than the time of King Arthur and his knights.

  In this modern game show, you are actually given a choice, a real choice.

Choice #1:  You are offered a sure prize of $400 cash, and you just take the money and walk away.  Period.  No question asked.....

Choice #2:  Take your chance and play the game.......

What would be your choice?  Take the money and run, or play the game?  Why???Hmmmm.......

   You have to make a decision...... quick ......