How much do you expect?

Probability Level 1

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.

The probability of scoring 100% in the test by selecting options randomly is pq\frac{p}{q} where pp and qq are integers.

log2(p+q)=?\left\lfloor \log _{ 2 }{ (p+q) } \right\rfloor \quad =\quad ?

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