Probabilities
To get the proper probability for number X in position Y for a 6/42 lottery, it might be easier to remember the following Excel formula:
=COMBIN(X-1,Y-1)*COMBIN(42-X,6-Y)/COMBIN(42,6)
where the first COMBIN function gives the number of possible combinations before number X in position Y, the second COMBIN function gives the number of possible combinations after number X in position Y and the last COMBIN function gives the number of possible combinations for a 6 / 42 lottery.
So for number #12 in position #3, this gives =COMBIN(12-1,3-1)*COMBIN(42-12,6-3)/COMBIN(42,6) or 0.042567501