Anything Batman

Is it more advantage for Batman to change his choice? ?

Suppose that Batman falls into Joker’s pitfall. Joker sets up a time-bomb on Rachel Dawes’ body, and there are three wires, blue, black, and red on this time-bomb. Two of these wires are connected to the alarm clock, and the remaining one is connected to the fuse. If both wires connecting to the alarm clock are cut, the alarm clock will stop. On the other hand, the time-bomb will explode if the wire connecting to the fuse is cut. Now, Joker asks Batman to pick one wire, so that Joker will cut this wire for Batman. After Batman has selected a wire, Joker will cut one of the unselected wires and show that it is connected to the alarm clock. (In case both unselected wires are connected to the alarm clock, Joker cuts one randomly.) After that, Joker asks Batman to decide whether he wants to stay with his first choice or to switch to the remaining unselected wire. Is it more advantageous for Batman to change his choice? what’s the probability?

It will be of more benefit to switch!! The probability of saving Rachel is 2/3 if he switches and 1/3 if he doesn’t. In other words if he switches his chances of saving Rachel increase by 1/3 to 2/3.

This is just a variation of the Monty Hall Game Show Problem. Wikipedia actually explains this quite well…

http://en.wikipedia.org/wiki/Monty_Hall_problem

Childhood Nostalgia old Batman clock.

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