# Order preserved Lotto distribution

42 balls are numbered 1-42. You select six numbers between 1 and 42. (The ones you write on your lotto card). I know if it is randomly selected regardless of order, it is easy to compute probability that they contain some numbers of yours, E.g. P(Match 4), by hypergeometric Distribution. BUT, NOW, the point is what is probability of matching 4 numbers, given that order is preserved? E.g. If we write 10 at first next number must be more than 10 (cant write 9 after 10).

I don't fully understand the question. If you picked a 42 first then you would blow up? There seems to be inconsistencies in the question.

Ray Vickson
Homework Helper
Dearly Missed
42 balls are numbered 1-42. You select six numbers between 1 and 42. (The ones you write on your lotto card). I know if it is randomly selected regardless of order, it is easy to compute probability that they contain some numbers of yours, E.g. P(Match 4), by hypergeometric Distribution. BUT, NOW, the point is what is probability of matching 4 numbers, given that order is preserved? E.g. If we write 10 at first next number must be more than 10 (cant write 9 after 10).