An agent is placed in an environment containing two slot machines, each of which costs $1 to play. The expected payoffs are c and d and the agent can play each machine as many times as it likes. Describe, in qualitative terms, how a rational agent should behave in each of the following cases:
(a) The agent knows that c = 2 and d = 0.75.
(b) The agent knows that c = 2 but d is unknown.
(c) The agent knows that c = 0.995 but d is unknown.
(d) c and d are unknown.
(Hint: Remember your PEAS! Not everything is fully specified in the question; you need to fill in the missing specifications.)