How much do you expect?

Suppose you are sitting in an exam hall for an IQ-test containing 5 True/False questions and 5 multiple-choice questions, each having 4 different choices such that only one of the choices is right.

What is the probability that you will score 100% in the test? Let your answer be in \(\frac{p}{q}\) form where \(p\) and \(q\) are integers. \[\left\lfloor \log _{ 2 }{ (p+q) } \right\rfloor \quad =\quad ?\]

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