The Powerball jackpot is now the fourth largest in history at $1.6 billion, but your chance of nabbing the winning ticket is equivalent to choosing a single marked dollar bill from a stack 19 miles high — more than the height of 115 Statues of Liberty.

Those odds equate to about a 1 in 292.2 million chance of winning, Davidson University mathematician and lottery expert Tim Chartier told The Post on Monday.

“Each ticket represents just one draw from that towering stack,” Chartier said of the Lady Liberty analogy.

The jackpot crept up from $1.5 billion after nobody hit the winning numbers during Saturday’s drawing, with players getting another shot at the big one again Monday night.

The new total amounts to about $735.3 million before taxes for a single winner who takes the lump-sum option, or more than $50 million per year pre-tax if they take the annuity option.

So many people will have turned out to try their luck at the new $1.6 billion prize that Chartier believes there’s about a 50% chance a winning ticket will be sold — saying it is “essentially a coin flip on whether this drawing produces a winner.”

But he cautioned that those odds don’t mean an individual’s chances of winning improve.

“That framing can heighten the temptation to buy, but it is also unintentionally misleading. While the chance that someone will win may approach 0.5 as the jackpot grows, your chance of winning remains 1 in 292.2 million,” he told The Post.

“Certainty lies not in winning but in the fact that numbers will be drawn that could produce a winner. Unfortunately, that certainty can overpower intuition, allowing mere possibility to loom larger than its starkly improbable odds,” the math expert said.

But one of the few things people can control is their odds of splitting the pot with other winners.

Players who want all that cash for themselves should select completely random numbers and avoid choosing dates or combinations that have meaning for them, as others are likely to do the same, Chartier advised.

“Many players gravitate toward the same numbers — birthdays, anniversaries or sequences they find meaningful. It’s surprisingly hard for humans to be random. With so many possible combinations, randomness actually improves the chance that a winning ticket is unique,” the math whiz said.

The number of players rose by 50% between the past two drawings as the jackpot climbed, according to Powerball, and Chartier suggests people who want to try their chances should act fast instead of waiting for a higher jackpot.

“Keep in mind that it’s the holiday season, with tickets often bought as gifts and optimism running high,” he said. “As a result, it wouldn’t be surprising if the odds that someone wins creep even higher than a coin flip.”

“A winning ticket is likely on the horizon — setting the stage for someone’s life-changing new year.”