Exoected Time to Get Facebook Likes

Most people, when they visit most Facebook pages, are not very interested. They don't find much reason to either like or dislike the page. Given however, that a page can either be liked or disliked, how long will it be before a certain number of likes,  
  is reached?
Suppose that a page has  
  visitors per day. The probability of a person liking the page is  
  and the probability of someone disliking it is  
. Suppose also that these two probabilities are independent. The expect number of likes in a day is  
  and the expected number of dislikes in  
. The expected number of net likes is  

The in will be an estimated  
  days before you get  
  Facebook likes. If  
\[q \gt p\]
  then you probably have more dislikes than likes and your threshold may never be reached.