I need help getting my head around this practice question:
In your favorite noontime show, the player reaches the final round and faces the challenge of choosing one out of three boxes to win a $2M prize. Should she choose the wrong box, she would receive nothing. The player selects the First Box. The host opens the Second Box, which is revealed to have nothing in it. The player is theportunity to switch her box from the First one to the Third. What should the player do?
A) She should agree to the host’s offer
B) She should not agree to the hosts offer
C) Doesn’t matter what she does
I answered C. The right answer is A and the solution states “The player is twice more likely to win the $2M should she switch to box 3.” I’m floored. I appreciate the help!