I find myself giving this recommendation quite often in threads, especially lately, so think it's a thread-worthy topic to revisit.
For those that aren't aware, the Credit Pulls Database contains data points of others that have applied for whatever card you are considering. You can break it down to just your state or see the country wide results. You can see which bureaus are pulled, what their credit score was and whether they were approved or denied. In addition there's a section where additional data points can be entered such as inquiries, AAoA, baddies, etc. whatever the person being approved or denied decides to enter in.
You can visit the Credit Pulls Database by typing "Credit Pulls Database" into a search engine.
Researching the Credit Pulls Database will arm the potential applicant with a ton of data points which will allow them to make the wisest decision. In the amount of time it takes to start a "what are my approval odds for X" thread, one can read real world data and obtain far more concrete information than can be attained from random people "shooting from the hip" and offering advice from their gut in your thread.
For example, I just looked at the CPD for a commonly discussed card on here, Discover. Using data from the last year (you can go back much farther than that) we see that 105 people have reported applying. 90 were approved, 15 were denied. Looking at the 15 denials, their scores ranged from a low of 554 to a high of 740. The 740 denial appears to be an outlier as the next closest score denied was 705. The average denial score is 646.
It's also a good thing to look at the percentage of people that were approved with greater than your score and the percentage of people approved with less than your score. As an example, let's take a nice round score of 700. Of the 90 reported approvals, 57 possessed a score of 700 or less while 33 held a score of greater than 700. If 2/3 of the people reporting approval have lower scores than you do and only 1/3 have higher scores, it gives you a greater sense that your chances are likely very good for approval. Should you find that 70-80% of the people being approved have scores higher than you do, and your score falls near the average score of where people are typically being denied, perhaps it isn't a wise move to apply yet.
Hopefully this information can be useful to people in the future that aren't sure if they should app or not for a specific card.
