If you took the Golden State Warriors head man -- you'd be wrong ... we think.

The Dubs are up in Seattle for a preseason tilt with Sacramento Friday, but they popped by 'Hawks practice beforehand (we're told Kerr and Carroll are long-time bros).

Turns out ... there's a basketball hoop in the Seattle team meeting room -- so, of course, a shootout went down.

Klay Thompson, Kevin Durant and Tyler Lockett all got buckets ... but then it was time for the main event -- Carroll vs. Kerr.

Unclear exactly how it all went down ... but it looks like it came down to a final Carroll shot -- that cornerback Shaquill Griffin conveniently cut out before the ball went in.

If you're asking Griffin ... he swears Carroll made the bucket -- "He made the shot !! Seahawks win !!"

Guess we'll have to take his word for it ... after all, Seattle doesn't get to see much hoops success these days.