In order for it to work it requires millions of years, if not more, to overcome the overwhelming odds in a sort of million-monkeys-million-typewriters way.
One thing you should know though is that space is very big.
There are at least (maybe more) 100,000,000,000,000,000,000,000,000,000 stars in the galaxy, each with usually one planet, and easily more. Even if the chances of developing life were maybe 1 in a trillion, you're still going to have at least 100,000,000,000,000,000 stars out there with some life floating around them.
The thing is too, even if the odds are so horribly stacked against life happening, it obviously happened. Some people do end up winning the powerball of life.
Young earth creationism suggests that the world is about 6,000-10,000 years old, in accordance with the biblical records found in the geneologies found in the first few books in the bible. These geneologies stretch back to Adam, the first man, who was made on the 6th day of creation. The Bible finds most of its credibility from its historical accuracy.
I don't want to be offensive or anything, but the Bible is far from historically accurate. When we can carbon-date dinosaur remains to be 65 million years old or more, and use radiometric dating to age the Earth itself as at least 4.6
billion years old, the "historical accuracy" of the earth being created 10,000 years ago is extremely false, even as we have found tools created by early humans to pre-date that by far and away.
That doesn't mean that you can't believe in creationism though. One common argument is that thousands of years for us may be mere seconds for a deity or god. Maybe planting some adams and eves happened to us some 300,000 years ago, which could've been a few weeks on god's lovey Fireman of the Earth calender. It's just extremely ignorant to take a several thousand year old book as undeniable fact when it's been proved wrong in that facet.