Maths Olympiad Prep

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Problem 441

Combinatorics Difficulty 2.0 Find the answer UKMT Pink Kangaroo · United Kingdom · 2017

Ivana has two identical dice and on the faces of each are the numbers 3,2,1,0,1,2-3, -2, -1, 0, 1, 2. If she throws her dice and multiplies the results, what is the probability that their product is negative? (A) 14\frac{1}{4} (B) 1136\frac{11}{36} (C) 13\frac{1}{3} (D) 1336\frac{13}{36} (E) 12\frac{1}{2}

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