Originally posted by mtthw
Your expected gain/loss is exactly the same in all cases.
If you mean something else by "maximise your winnings" you need to be a bit more specific. Different strategies will give you different answers for things like "maximise your maximum possible winnings" or "maximise the probability of making a profit", etc.
The idea I was trying to get across goes like this.
If YOU pick 30 out of 49, your chances of getting at least 3 of the correct numbers are about 60%.
So, if you do get at least 3 numbers correct, then re-arranging the 30 numbers 100 different ways would hopefully result in you getting mulitiple winning tickets. Your chances of multiple winning tickets would increase if you got 4,5,6 numbers correct.
So, if you could get a 60% chance of getting 3 numbers correct by taking 30 of 49, would you do it? Or would it make no difference.
Assume you could only play the lottery for this one draw and never play it again for the rest of your life.