Public viewer
The journey of every round
Every round-trip in the corpus is public. Open one to see the prompt, the zero-point index, the baseline response, the enhanced response, and how each grader read the difference. Leave a comment if a grader's reading lands — or doesn't.
Given the recursive sequence a_1 = 2 and a_(n+1) = 3 a_n - 1, compute a_4. Give the exact integer.
Compute the least common multiple of 30 and 45. Give the exact integer.
Compute 5^6 mod 11. Give the exact integer in the range 0 to 10.
A disease affects 2% of the population. A test is 90% sensitive and 95% specific. Someone tests positive. Compute the probability they actually have the disease. Give the exact value.
State Bayes' theorem expressing P(A|B) in terms of P(B|A), P(A), and P(B). Give the formula.
How many distinct 5-card hands can be dealt from a standard 52-card deck? Give the exact integer.
A disease affects 0.5% of the population. A test is 99% sensitive and 99% specific. Someone tests positive. Compute the probability they actually have the disease. Give the exact value.
State Bayes' theorem expressing P(A|B) in terms of P(B|A), P(A), and P(B). Give the formula.
In a survey, students who study more than 8 hours a day report lower happiness than those who study 4 hours a day. Should we conclude that studying less makes students happier?