We have been given that company A has a 30% chance of losing $12,000.
Let us calculate the amount that Yun can loose.
![(12000* 30)/(100) \\ \\ =\$3600](https://img.qammunity.org/2019/formulas/mathematics/high-school/w65y2xhmmgtzr72lsuoca4lcyobi6jqcr0.png)
Now, 45% chance of breaking even. It means neither loss nor profit.
Then, 25% chance of earning Yun $11,000.
Let us calculate the amount of profit
![(11000 * 25)/(100) \\ \\ =\$2750](https://img.qammunity.org/2019/formulas/mathematics/high-school/3hv1y7kubzcwnsav0f714dp868t35usaht.png)
Since, 3,600 > 2,750. It means that Yun will be in loss on investing in the company.
Hence, she will not invest in the company A.
d is the correct option.
d. no, 3,600 > 2,750