EA has now put up their sales for Black Friday, at least as concerns Origins. Some games are up to 75% off.
You can find the sale page here:
Origin Black Friday SaleThe sale will go through Dec. 1, 2015. Also note the sale may not include your region if it is outside the US.
As mentioned above, some of the games are up to 75% off, though this doesn't cover Sims 4, though there is some discount (50%):
The Sims 4 (Base Game): $29.99
The Sims 4 Digital Deluxe Edition: $34.99
However, you may also wish to examine some of the other titles up for offer as there does appear to be some good deals.
If you are into Sims 3 titles, all the Expansion Packs, and Sets are reduced to $7.99
Edit by Carl: The link has been updated to give credit to the site for all sales. Thanks to those who use our link! You can search all Sims titles on Origin using the Sims 4 banner in the top right corner.
Edit by Bri: The price for the base Sims 4, as well as the Digital Deluxe is down to 50%.