Weirdest head-to-head records in UNC Basketball history Posted Aug 9, 2020 UNC Basketball is 0-5 vs. West Virginia. Five is the most amount of times UNC has played a team without beating them. The Mountaineers are the only team that holds that edge on the Tar Heels, although the two have not met since 1965. The fourth loss in that series came in December, 1957 when the Tar Heels were the No. 1 team in the country. (Tar Heel Blog)