Grades 11-12 Video Solutions 2014-11&12 Video Solutions 2014 problem23

11&12 Video Solutions 2014 problem23

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The problem involves determining the number of gold kangaroos, "greatkangs," from a group of nine kangaroos which are either silver or gold. Given the probability condition that when three meet, there's a two-in-three chance none are silver, the constraint is translated into an equation with the number of gold kangaroos, G. By considering probabilities and solving the product equation G(G-1)(G-2) = 336 (derived from probability conditions), it's concluded that G = 8, meaning there are eight gold greatkangs.