I've already seen two articles that have incorrectly stated what needs to happen for Louisville to go the Orange Bowl, plus a premature mugging-with-the-bowl-prop photo over at Card Chronicle, so I'm going to spell out what needs to happen for each of the three contenders -- and yes, there are three -- to win the Big East BCS bid.
Once again, from the Big East website, the tiebreakers are:
TWO-WAY TIE
The winner of the head to head match-up will represent the BIG EAST in the Bowl Championship Series.
THREE-WAY TIE
A "MINI-CONFERENCE" IS CREATED AMONGST THE THREE TIED TEAMS. All three teams have either a 6-1 or 5-2 record and have each won one game and lost one game against the other tied teams in the mini-conference. In this case, the highest ranked team (in the post-regular season BCS poll) amongst the three earns the bid.
With that in mind:
LOUISVILLE WINS THE BCS BID IF: Cincinnati loses to UConn. Louisville would be the only 5-2 team, or would be tied with West Virginia, whom they beat.
CINCINNATI WINS THE BCS BID IF: They beat UConn, and West Virginia loses to USF. Cincinnati and Louisville would both be 5-2, and Cincinnati beat Louisville.
WEST VIRGINIA WINS THE BCS BID IF: They beat USF, and Cincinnati beats UConn. All three teams would be 5-2 and 1-1 against each other. The next tiebreaker is BCS ranking, where West Virginia has a comfortable lead that this set of results would not change.
So Louisville needs to root for UConn, West Virginia needs to pull for Cincinnati, and Cincinnati is in the unfortunate position of needing USF to win.