Suppose a risk averse person has $1000. They can opt to keep the $1000, or they can opt to take a gamble where with probability P they $200 and with probability 1-P they lose $300. They opt to take the gamble and after the uncertainty is resolved they end up with $700. Determine if the following statement is either True or False: Given the outcome, we are certain that this person made the wrong choice ex ante given their preferences