This is probably a bit late for some people, but it may help others.
Do NOT let Origin store your payment details! Please go double check that you do not have any stored payment details in Origin, or on the website: http://store.origin.com
Also please enable login verification (via the web site, not sure if you can do it in the client) - this will request a one time password from unrecognized devices.
There are lots of reports of Origin accounts being hacked, and unauthorized purchases being made. Although you can request Origin to refund the purchases, there have been reports of accounts being banned (notably after refunding purchases of FIFA), and then Origin support being unresponsive with queries.
On the 29th of December, somebody from Singapore fraudulently purchased FIFA 15 on my account.
It seems they used it to mine/generate FIFA 15 currency, which is obviously against the EA Terms of Service.
So, yea… I’m ecstatic about this, obviously.
I’ve logged a case with EA - let’s see what happens.