Study = No fail ------------------- (1)
No study = fail ------------------- (2)

Solve the 2 equation simultaneously, gives
study + no study = fail + no fail

Simplify it,gives
Study (1+no) = Fail (1+no)

Solve the equation using Logarithm of 10 (using Log because, from a Finance perspective, Return are Lognormally distributed and involve continuous compouding. However, for simplification Log of 10 is used rather than Natural Logarithm, LN ), gives
Log [study (1+no)] = Log [fail (1+no)]
Study [Log (1+no)] = Fail [Log (1+no)]
Study [Log 1 x Log no] = Fail [Log 1 x Log no]

2 same variables cancel each other out,gives
Study = Fail

So, why study ??