New Delhi, April 8 -- On a recent evening inside a Massachusetts casino, a modest wager, barely the cost of loose change, produced a result that continues to animate gamblers and statisticians alike. A player, risking just $1.50 on a slot machine, watched as the reels aligned in a way that transformed an ordinary spin into an extraordinary payout.

The prize, worth more than $11,000, was the kind of outcome that casinos advertise but rarely deliver in such stark contrast to the initial stake. According to reports of a small bet, big win, the victory occurred at MGM Springfield, where the player's low wager triggered a jackpot worth $11,662.16.

It is a story that sits at the intersection of probability and possibility, one that underscore...