A person is given a list of n questions and can answer these

A person is given a list of n questions and can answer these questions in any order he or she chooses. A correct answer to question i will earn the person v_i credit points as reward. Each question also has a difficulty indicator p_i, which gives the probability that question i will be answered correctly. The quiz will terminate, nevertheless, at the first incorrect answer and at that point the earned credits will be tallied as the person

Solution

Difficulty should be minimum and prob for correct answer should be maximum

If he answers correctly first answer he will get p1v1 credit.

but to increase this he has to answer ii answer corrctly he will get p1v1 grade

If he answers ii one right

then he will get p1v1+p2v2 like that it goes on till he gives incorrect answer.

So it is better to take in increasing level as p1v1 and p2v2 etc.

The optimal level is

for the first question

for second

and in general