A slot machine has 3 wheels. Each wheel has 10 symbols, and each symbol is equally likely when the wheel is spun (assume the wheels act independently of each other). The middle wheel has 1 bell among its 10 symbols, while the left and right wheels have 4 bells each.
(a) You win the jackpot if the wheels show all bells. What is the probability of winning the jackpot on any given spin?
(b) Find the probability of obtaining exactly 2 bells on any given spin.
(c) What is the probability that you get a bell on the first wheel or third wheel?