Business Decision Analytics Under Uncertainty (33:136:400) 
Professor Eckstein
A Game-Show Strategy Problem

This is a simplified version of problem 16 on page 67 of the text.

You are participating in a game show.  In the show, there are three cards face down on a table, the hidden sides marked with "$150,000", "$400,000", and "YOU LOSE". 

In each round of the game, you turn up a card.  If you turn up the "YOU LOSE" card, you exit the game immediately with no winnings.  Before each round, you have the option of quitting the game and winning the amount shown on the last card you turned up (and zero if you quit before the first round).

What strategy maximizes your EMV in this game?  What is the maximal EMV?  Would you personally follow this strategy?