Jian and Chen are each considering purchasing a certain stock at a price of \(¥ 135\) per share. They have the same financial analyst, and according to her, there is a \(60 \%\) probability that the share price will rise to \(¥ 190\) over the next year and a \(25 \%\) probability that it will fall to \(¥ 60\). Jian is risk loving. Chen, on the other hand, is risk averse and has the utility function \(U(W)=W^{0.6}\), where \(W\) is wealth. Using decision trees, show that Jian is more likely to buy the stock than Chen is, all other factors being the same.