The desired probability is the conditional probability that problem 2 was solved given that problem 1 was solved. That is ...
P(2|1) = P(1&2)/P(1) = 12%/37% ≈ .324 ≈ 32%
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You can also think of it like this. If there were 100 students taking the exam, 37 solved the first problem. Of those 37, 12 solved the second one. 12 is about 32% of 37.
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