(Only for extra credit) Consider Freddy on a rainy Thursday afternoon after losing in his favorite video game. His friend Tommy comes over to cheer him up and offers him the following choice:

Lottery A: £10000 for sure (probability 100%)

• Lottery B: £10000 with prob. 89%, £0 with prob. 1%, £50000 with prob. 10% Consider the same Freddy on a rainy Thursday afternoon after losing in his favorite video game. His other friend Carl comes over to cheer him up and Carl offers the following  choice for Freddy
• Lottery C: £0 with prob. 89%, £10000 with prob. 11%
• Lottery D: £0 with prob. 90%, £50000 with prob. 10%

To our surprise, in the ?rst case Freddy chooses A and in the second case Freddy chooses D. When you put these choices together can you conclude that Freddy is not maximizing his Expected Utility? If yes, why? If no, why not?