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1 confirmed positive case per 5,000 fully vaccinated Americans per week
Biden quoted this stat today, and it appears on the White House website as well.
https://www.whitehouse.gov/covidplan/
The overall infection rate for the country is around 14 per 5,000 per week right now according to JHU. So that's a pretty good reduction. If you extrapolate per year, that works out to be around a 1% chance of a breakthrough infection.
We can live with that. Literally. Continue to socially distance and you can drive that 1% number even lower. Boosters will drive it even lower still.