You're a member of a new government with exotic rule-sets.
One of the rules governs when and how hair shall be cut. The law states that on the second Thursday of every month hair shall be trimmed, and it shall be trimmed in the following manner:
All the citizens shall be lined up alphabetically (last name, first name). Going from the front of the line to the back, the following shaving rules shall be applied fairly to all citizens.
If everyone in front of you is bald, you shall be shaved bald. If this is not true one of two things can happen.
If you are bald you will be given a wig to hide your shame. If you have hair it shall be permed to appear more wig like.
You are fourth in line and have immaculate hair. If the hair states of the other contestants are randomized, what is the most common hair style you will be left with? What percent chance is that?