Probability: Calculating the Expected Value
You give $3 for a bet in a casino game and there is a 253/495 probability that you will lose your $3 and there is a 242/495 probability that you will make a net gain of $3 (If you win the casino gives you $3 and you keep your $3 bet so the net gain is $3).
1. What is your expected value?
2. In the long run how much do you lose for each dollar bet?