That's not how this works as a rational investment choice.
It's true that you can never win a lottery you don't enter, but the expected value of that ticket is vastly lower than what you paid for it. That means, as an investment, your $10 will be expected to do better in literally anything with a positive return.
If you are buying > $10 worth of dreaming (for you), fine - but that's consumption.
Or a few minutes ... or 20 years.
That's the thing w/ statistically independent trials.