Smith Webb, the owner of FastT Track Ltd$,$ is offered two investment projects. Project $1$ is certain to make a moderate profit: while project $2$ is a lot riskier but the potential return is huge if it turns out to be a success. The payoffs of these two opportunities are summarized as follows:

$\backslash$table$[[,$Initial investment,Payoff,Probability of payoff$],[$Project $1,120,000,150,000,100\%$