I had an answer started, but I see that it’s already been thoroughly and clearly answered.
A ‘put’ option is generally written by someone who wants to buy stock at a known price in the future. In this case, the ‘put writer’ (the person who originated the options contract) decided that he could take the risk of purchasing Apple at $300 per share on or before the third Friday in January 2010—or—he was pretty sure that Apple would never get to that price, and wrote the put option as a way to generate some (speculative) income.
The person who would be expected to purchase the put option, however, generally is one who has the 200 shares of Apple stock that he would like to be able to sell for $300 per share… provided that the stock hasn’t reached that point by the third Friday in January 2010.
But those are the ‘expected’ sellers and buyers of those options.
There’s also a secondary market in options, of pure speculators banking (or betting, if you will) on the direction that Apple stock will take, and whether the option becomes more or less valuable before it expires on the certain date.
To put some actual numbers to this, in the past 2 years Apple stock has traded from a low of $78 to a (current) high of $226 (in round numbers). Anyone who would be writing a “January 300 Put” (sometime last year, since most options contracts are relatively short-lived, although there are specific long-term options available, and clearly titled as such) would have put a huge premium on this options contract, since it was so far “out of the money” for all of 2009.
That is, at Apple’s high in 2009 of around $206 or so, the option would have been at least $94 “out of the money” (meaning a person agreeing to buy your Apple stock at $300 would have been paying almost $100 per share more than it was worth. So that would have been a very expensive option to purchase, and would have been a good income vehicle for the person selling that put.
This actually does make sense to people who have done it, but looking at it in the context of an answer box on Fluther, even I find myself going “WTF?” a little bit.