In the UK the lottery uses numbers $1$ to $49$ and a total of six numbers are picked. It has been said may times that there is as much chance of numbers $1, 2 ,3 ,4 ,5 ,6$ to be picked as any other random combination.
My question is this:
Let's say that the first $3$ numbers to come out are $1,2$ and $3$. What are the chances of a number between $1$ and $10$ coming out next Vs a number between $11$ and $20$?
There are obviously less numbers between $1$ and $10$ now that we already lost $1$ to $3$, so surely the probability is that a number between $11$ and $20$ is more likely? In which case, the chances of a lottery selection of $1,2,3,4,5,6$ is less likely than $2,12,21,28,32,47$ for example...