A lottery winner from State \(F\) must match, in any order, \(6\) balls randomly chosen from a single pool of balls

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A lottery winner from State \(F\) must match, in any order, \(6\) balls randomly chosen from a single pool of balls numbered from \(1\) to \(50.\) A lottery winner from State \(G\) must match, in any order, \(5\) balls randomly chosen from a first pool of balls numbered from \(1\) to \(50\) AND a “megaball,” randomly chosen from a second set of balls numbered from \(1\) to \(50.\) The number of winning combinations in a single drawing of the lottery in State \(G\) is what percentage greater than the number of winning combinations in a single drawing of the lottery in State \(F?\)

A. \(11\%\)
B. \(85\%\)
C. \(111\%\)
D. \(567\%\)
E. \(667\%\)

OA D