You have $$500,000$ that can be invested into two projects. Based on prior knowledge, you estimate the first project will succeed with $0\mathrm{.}75$ probability in which case it quadruples in value. If the first project fails, its scrap value is worth $$300,000.$ You$$ve estimated the second project to succeed with a probability of $0\mathrm{.}85,$ and will return three times its original value if it succeeds and $$250,000$ if it doesn$$t$.$

What is the expected return for the first project?

What is the expected return for the second project

Which project should you pursue $($enter $1$ or $2)?$