You are considering participating in the student math league which offers cash prizes for certain score on the test. After researching results in the past you estimate that there is a 1/120 chance you will win $100,a 1/60 chance you will win $50,a 1/22 chance you will win $25, and a 1/9 chance you will win $10.

What is the expected value of prize money if you compete in the Student Math League contest? (Fortunately there is a lot of good experience with math practice, friendly competition, and networking involved.And it's free to compete.)

What is the expected winnings as dollars rounded to the nearest cent.