Quick pick (random) and self-pick (your own numbers) have exactly the same odds of winning. The only real difference is jackpot-sharing: self-picked numbers — especially birthdays — are more likely to be duplicated by other players, which can mean splitting a prize.
The odds are identical
Every possible combination is equally likely on every draw, no matter how it was chosen. The machine's random numbers and your carefully chosen ones sit in the same lottery hopper with the same probability. There is no selection method that improves your chance of winning — see how lottery odds work.
So why are most winners quick picks?
Because most tickets are quick picks — roughly 70–80% of them. If three-quarters of tickets are machine-picked, three-quarters of winners will be too. It's a reflection of how people buy, not evidence that quick picks are luckier.
The one real difference: splitting the jackpot
Jackpots are divided among all winning tickets, and human choices are predictable. People heavily favour birthdays and anniversaries, so numbers 1–31 are over-played, along with patterns, "lucky" numbers and last week's winning set. If you win with a popular combination, you're more likely to share the prize. Choosing a quick pick — or deliberately including numbers above 31 — won't help you win, but it can mean a bigger slice if you do.
Bottom line
Pick whichever way you enjoy; the odds don't care. If a large jackpot is the goal and you want to minimise sharing, lean random or high. And remember the whole exercise is entertainment — no method changes the fact that the lottery is a negative-expected-value game.
Want random numbers right now?
Generate a quick pick for any game — clearly labelled entertainment, not a prediction.