(b) Examples of Facebook Site Information. The Facebook Site Information may include, without limitation, the following information, to the extent visible on the Facebook Site: your name, your profile picture, your gender, your birthday, your hometown location (city/state/country), your current location (city/state/country), your political view, your activities, your interests, your musical preferences, television shows in which you are interested, movies in which you are interested, books in which you are interested, your favorite quotes, the text of your "About Me" section, your relationship status, your dating interests, your relationship interests, your summer plans, your Facebook user network affiliations, your education history, your work history, your course information, copies of photos in your Facebook Site photo albums, metadata associated with your Facebook Site photo albums (e.g., time of upload, album name, comments on your photos, etc.), the total number of messages sent and/or received by you, the total number of unread messages in your Facebook in-box, the total number of "pokes" you have sent and/or received, the total number of wall posts on your Wall™, a list of user IDs mapped to your Facebook friends, your social timeline, and events associated with your Facebook profile.
Emphasis added. When you add an application to Facebook, these are examples of what the application (and its developers) can find out about you. In other words, if you don't let everybody read your Facebook profile, you certainly shouldn't let applications do the same.