The local high school football team, the Falcons, has a contest where three letters are chosen out of the seven letters F, A, L,
C, O, N, and S and are printed in random order on tickets given one to each spectator. If anybody has the word "CAN" printed on their ticket, they win a free can of soda from the snack bar. What is the probability of winning a free soda?
The rates are additive: you can calculate the<em> inlet </em>rate and the <em>outlet</em> rate and add them algebraically, i.e. the inlet rate will be positive and the outlet rate will be negative.