You seem to be mistaken. There is one combination with 6 Heads. There are twenty combinations with 3 Heads and 3 Tails - therefore 3 Heads and 3 Tails is twen

You seem to be mistaken. There is one combination with 6 Heads. There are twenty combinations with 3 Heads and 3 Tails - therefore 3 Heads and 3 Tails is twenty times more likely to come up, true. However, the specific sequence HTHTTH itself is no more likely than HHHHHH. It's just that a sequence with the same distibution of H and T is more likely. If HHTHTT comes up and you picked HTHTTH, it might look similar but it's no good. == It's more likely that a lottery will result in a non-same-number sequences than a same-number sequence: true. This is because they are a much! bigger group of numbers. However, an individual member of the same-number group has the same chance as an individual member of the non-same-number group. 2222222 is just as likely to come up as 2449776 is just as likely to come up as 9667224.