Having said that, you have the same odds as anyone else, you could solve a block on the first try, or get 10 in a row, or never.
You could but the odds are not the same at all.
Think of it as a lottery, if you buy one ticket you only have 1 chance and your odds are low. If you buy 10, 10000, ... then you increase your odds.
Considering the fact that mining is not a competition for find only one block, but it is a competition to find every block every day of every month in every year the long duration makes it so that the odds of finding the block is proportional to the amount of hashrate you have compared to total hashrate.