You would most likely get approved today for an Amex card, even with 2 other recent Experian pulls.

There is currently a 50K offer for the Amex Platinum.

Based on your approvals by BofA and Chase, I would say your chances are high of getting approved for the Amex Platinum. And if you are not approved, your application will generally sign you up to receive pre-approved offers in the future from Amex.

Best of luck!

P.S. I have found "Million Mile Secrets" blog to be a very useful resource for finding the best credit card signup bonus offers, and other helpful info. Just google it. There is a page dedicated to current best credit card bonus offers. Unlike some other bloggers, he let's you know the current best deals, not just the deals that generate the best commission for him.