Bob is considering an investment of $$10,000$ in a project that will result in either a gain of $$10,000$ or a loss of $$5,000.$ Bob's attitude toward risk is well$-$described by constant relative risk aversion $=3.$ Bob would be willing to make this investment if the probability of success is greater than:

Select one

A$.$ a$.80\%$

B$.$ b$.\frac{1}{3}$

C$.$ C$.63\mathrm{.}7\%$