What is the expected value of rolling a 6-sided die. The sum of two prime numbers is 999. What is the higher of these two numbers? I went out to dinner last night and discovered that I charged $50.40 in total for my meal. Tax is 5%, and I always I tip 20% of the meal + tax amount. If 60% of the cost of my meal was my entree, how much did I spend on the entree? You walk into a Las Vegas casino. There are 10 slot machines. 9 of them win 20% of the time. 1 of them, the lucky machine, wins 30% of the time. But you don't know which one is the lucky one (the 30% winner). You watch someone put a quarter into the machine and win. What is the chance it was the "lucky" machine? Two players, A and B are rolling a fair die. Whoever rolls 5 first wins. A plays first and then B. What is the probability that A wins? Please discuss. Do you think there is any unfair advantage for any player in this game?
