Hey I was wondering if some of you maths guys could help me work something out. I have a friend who thinks he can win lotto because he can guess 18 numbers that WON’T come up and will be correct a considerable amount of times. Can you help me work out the odds for these situations?

In Australian lotto there are 45 balls and 6 balls are drawn. What are the odds that:

i) You pick 6 numbers and all 6 numbers are drawn

ii) You pick 6 numbers and 5 of your 6 numbers are drawn

iii) You pick 18 numbers that WON’T come up and all 18 numbers you choose don’t come up

iv) You pick 18 numbers that won’t come up and 17 of those 18 numbers don’t come up (one does come up)

Can you also show me how you did it?

Thanks