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In one lottery, a player wins the jackpot by matching all five distinct numbers drawn in any order from the white balls (1 through 44)

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In one lottery, a player wins the jackpot by matching all five distinct numbers drawn in any order from the white balls (1 through 44) and matching the number on the gold ball (1 through 31). If one ticket is purchased, what is the probability of winning the jackpot? The probability of winning the jackpot with one ticket is (Type an integer or a simplified fraction.)

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