Your house is worth $$250,000.$ You also have $$30,000$ in a savings account. There is a $10$ percent chance of a fire this year. If the fire occurs there will be $$150,000$ of damage to your home.What is the expected value of your wealth at the end of the year?

A$.$ $$175,000$

B$.$ $$130,000$

C$.$ $$100,000$

D$.$ $$265,000$