We have $10000 to invest, all of which has to be placed in one of three investments (IA, IB or IC). Assume that we wish to maximize the value of the investment in one year from now, but that the value of $10000 invested in each of the three alternatives depends on the state of the economy over the next year, which can be SA, SB or SC, as given by the entries in the following table:

Investment	State SA	State SB	State SC
IA	$11000	$11000	$11000
IB	$10000	$11000	$12000
IC	$16000	$3000	$14000

Assume the three states are equally likely.

Which investment should be chosen?