Lottery Odds: A Rare Positive Expected Value?

The Texas Lotto example shows that buying every possible lottery ticket isn't always a negative expected value play. With 25.8 million possible number combinations and often only a million tickets sold, weeks regularly go by with no jackpot winners. In 2024, only two jackpot winners emerged from 157 drawings, winning $17.5 million and $29 million respectively, leaving a $59.5 million jackpot by year's end. Someone finally won in February 2025, after the prize swelled to $83.5 million. While the odds remain extremely long, the accumulating jackpot can, theoretically, create a positive expected value – albeit a highly unlikely one.
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