The current price of a non$-$dividend$-$paying stock is $$47\mathrm{.}25.$ Over the next six months it is expected to rise to $$59\mathrm{.}01$ or fall to $$39\mathrm{.}95.$ Assume the

risk$-$free rate is zero. What is the risk$-$neutral probability of that the stock price will be $$39\mathrm{.}95?$