Unemployment rate = 0.12
Employment rate = 1 - Unemployment rate = 0.88
The probability (p) of finding a job in one month is equal to the employment rate,
so p = 0.88
The probability of not finding a job in six months = (0.12) ^6
The probability of finding a job within 6 months = 1 - the probability of not finding a job in six months
= 1 - (0.12 ^6) = 0.999997
Hope this helps!