<font face="Verdana, Arial, Helvetica, sans-serif" size="2">Originally posted by bjorn_brown:
Most places I go that accept one, also accept the other. I have found some places that only accept one. In 100% of those cases (my experience only), if the store only accepts one card, it's Visa.</font>
You said "places I go" and "store". The one "famous" example I can think of where Visa has not been accepted but Mastercard (as well as AMEX and I think Discover) has been was with online tax payments for a few years (tho I think now finally Visa is accepted for those as well).
But that's just acceptance. There's a separate issue of promos. If you stay at hotels often, but aren't super loyal to one brand, be aware that sometimes one hotel chain will have a promo such as "stay two nights, get one night free" that only works with a Mastercard, then another chain may have the same kind of promo, or a promo such as double miles and/or points, that only works with a Visa! So if you're into taking advantage of such offers, it can be useful to have both a Visa and a Mastercard (tho if one of them you only use rarely, just for such promos, obviously get a no-annual-fee one for that).