Michael is approached by a man carrying two boxes. The stranger tells Michael to pick a box and
take the money inside the box. The stranger further tells Michael that the probability of the box
he didn\'t open containing twice as much money is 1=2.
What is the expected amount of money in the other Box?
What is paradoxical about this?
Solution
Let the total amount be X
Michael has to choose only one box out of two So
the probability of choosing a box is 1/2.
Now since the probability of having twice the amount in the box he didn\'t picked up is 1/2
so the expection or the expected value = E(2x) = 2x* P(2x).
Michael is approached by a man carrying two boxes. The stranger tell.pdf
1. Michael is approached by a man carrying two boxes. The stranger tells Michael to pick a box and
take the money inside the box. The stranger further tells Michael that the probability of the box
he didn't open containing twice as much money is 1=2.
What is the expected amount of money in the other Box?
What is paradoxical about this?
Solution
Let the total amount be X
Michael has to choose only one box out of two So
the probability of choosing a box is 1/2.
Now since the probability of having twice the amount in the box he didn't picked up is 1/2
so the expection or the expected value = E(2x) = 2x* P(2x)
