Let me nitpick you a bit, Bot.

The odds of throwing a given number twice in a row is 1 in 36. The odds of throwing the same number twice in a row are significantly better.

My argument is based on the fact that the outcomes of the lottery are finite, and thus enumerable. Once you make an order of them, making any lottery draw is exactly the same problem as choosing a random number in the proper range (i.e., between 1 and about 130 million). The fact that you are choosing without replacement affects what will be on the list, but not the probabilities of those which remain.