They all have the same probability, even though in the past some have been drawn more often than others. It's still completely random though!
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4,10,15,21,30,33,44,46,49
It depends on how the game is structured, a piece of information that was not given in the answer... If the numbers are reused, then there are 1 x 107 (ten billion, in the short scale) permutations. Without combinations, then, the probability is 1 x 10-7. If the numbers are not reused, and we are playing combinatorial, in the style of most state sponsored lotteries, then the number of combinations is (10-3)! / 7!, which is 120, making the probability 1 in 120, or about 0.00833. There are other possibilities but, again, it depends on the rules, and you did not specify them completely.
There is insufficient information for us to answer this question. Please edit the question to include more context or relevant information. It would be useful to know which lottery from which country the question refers to.
four
That depends on what lottery you are talking about. - You might make statistics of some specific lottery, but I assume you want to guess which numbers have a higher chance of appearing next time. This simply doesn't work; the fact that some number appeared (by chance) in a lottery in the past, one or more times, won't have any effect whatsoever on the numbers drawn in the future.