Question 194
Bob has five airplane tickets with prices $\$ 100, \$ 120, \$ 140, \$ 160$, and $\$ 180$. Bob gives an offer to Aerith: she can distribute his tickets among two bags, after which, without looking inside, Bob will randomly choose a bag and a ticket from it for Aerith to keep. What strategy should Aerith use to maximize the expected value of her ticket?