You are invited to participate in the following game, which is played with one die. Assume the die to be fair. The rules are as follow: Investment is 100 THB. If you roll a 1,2,3 or 4 you lose your investment. If you roll a 5, i will pay you 150 THB. If you roll a 6, I will pay you 500 THB.
Should you participate in this game? Why/why not? Hint: Use the expected value to determine whether or not this is a good investment.