A certain lottery consists of selecting five different numbered balls from 1 to 22 white balls and one from 1 to 18 gold Mega balls. A player wins the jackpot by matching all five numbers drawn from white balls (1 through 22 ) and matching the number on the gold Mega Ball (1 through 18 ). A player wins a minimum award of $150 by correctly matching three numbers drawn from white balls (1 through 22 ) and matching the number on the gold Mega Ball (1 through 18 ). What is the probability of winning this consolation prize?



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