Lottery probability treats each draw as independent events: a ball has no memory of past results. The probability of predicting lottery numbers from hot and cold lists, gaps or past draws is the same as plain guessing, because every combination stays equally likely each and every time. Anyone promising a way to beat lottery odds by prediction is selling the method, and the numbers keep their count whatever the method claims.
Lottery odds for the jackpot are set by the pool alone, and the prize size follows from sales. A game that rolls its jackpot for weeks grows the prize and leaves the odds untouched, so a record jackpot is just as hard to hit as an ordinary one. The only change a larger jackpot brings is more players, and with them a higher chance of sharing the top prize with a second ticket.
Can you increase your odds of winning the lottery by choosing the game? That is the lever that works best. Odds of winning each lottery game differ widely: a draw of five numbers from thirty five is far kinder than six from fifty nine, and a small pool with a small jackpot pays more often. What lottery has the best odds is usually the one with the smallest pool and the smallest top prize, since the two travel together.