A casino company offers a simple game which is described as follows: The prize of the game depends on four unbiased coins you toss. If all four heads appear, you get $650. If all tails appear, you get $50. If exact three heads appear, you get $180. If exact three tails appear, you get $120. Otherwise, you get $150.

2. After the promotion period ends, the company charges the entry fee $150 for the game. One day, a group of tourists, who all exhibit utility function U(W)= -1/W, visit the casino, but no one plays the coin game. To induce them to play, the company decides to raise the payoff, instead of lowering the entry fee. What will be the smallest compensatory risk premium the company has to offer?