You are not more likely to win the lottery either way, because the numbers chosen for the lottery are completely independent of the method you use to generate your bet. However, you may be more likely to receive more money -if you win- when using randomly-generated numbers, because if you use your own you may have to split the winnings with someone else who came up with the same numbers. This is because when people try think of random numbers, they do so in a systematically biased way. For example, if I ask you to think of a number between 1 and 4 - most people will go for 3. Or between 1 and 10? Usually 7.