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