Because gambling is big business, calculating the odds of a gambler winning or losing in every game is crucial to the financial forecasting for a casino. A standard slot machine has three wheels that spin independently. Each has 10 equally likely symbols: 4 bars, 3 lemons, 2 cherries, and a bell. If you play once, what is the probability that you will get:
a) 3 lemons?
b) No fruit symbols?
c) 3 bells (the jackpot)?
d) No bells?
e) At least one bar (an automatic loser)?