Of Ninjas, Pirates and Accountants.

Let's suppose we live in a world where the only thing we can be is either
(a) a ninja
(b) a pirate or
(c) an accountant

In this world, because all of these three roles are MUTUALLY EXCLUSIVE, there can never be a ninja-pirate or a ninja-accountant, pirate-accountant or that dreaded combination ninja-pirate-accountant from PWC. You can only be one of the three and nothing else.

Let's suppose the probability of being a ninja is 0.1 (taking into account that being a ninja is pretty tough with lots of training and hardwork). The probability of being a pirate is 0.8 (since everyone wants to be a pirate) and those people who can't hack being a pirate or a ninja becomes an accountant.

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