Toss two fair dice, and let A, B e {1,2,3,4, 5, 6} be the outcomes, and consider the quadratic polynomial p(x) = x² + Ax + B. (i) What is the probability that p admits complex roots? (ii) What is the probability that (iii) Given that one of the outcomes is 3, what is the probability that p admits complex admits common roots (i.e,. two equal roots)? roots?

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