A far out-of-the-money 0DTE option costs almost nothing — a nickel, a dime — and every so often one goes 10x on a big move. That combination is psychologically perfect and financially poor. Here's why.

The math against you

A far-OTM option has a tiny delta — maybe 0.05 — so it barely moves unless SPY makes a large, fast run. By the delta-as-probability rule, a 0.05-delta option has roughly a 1-in-20 chance of even finishing in-the-money, before you account for the premium you paid. And with no time left, theta marches it straight to zero by the close. Most sessions, it simply expires worthless.

Why the occasional win is a trap

The rare 10x hit is memorable and gets reinforced — you remember the ticket that paid, not the twenty that didn't. But add them up: nineteen small losses plus one big win still usually nets negative once you weight by how often each happens. The lottery framing hides a poor expected value behind a cheap sticker price.

“It was only a dime” twenty times is $2.00 chasing a payoff that lands maybe once. Cheap and frequent is still expensive.

The better use of the same dollars

Those same dollars in a near-the-money strike, taken on an actual level-to-level setup, give the move a real chance to pay because the delta is doing work. Far-OTM lottos aren't “high risk, high reward” so much as “high probability of total loss.” Trade the move that's realistically on the table — framed by the expected move — not the one that would require a once-a-month event.