Both teams finished 29-53 this season. The Pistons will have 36 chances out of 1,000 heading into next month's lottery and Washington will have 35.
The NBA settled broke three other ties through random drawings Friday:
• Philadelphia (34-48) won a tiebreaker with Toronto.
• Houston (45-37) won a tiebreaker with Chicago and the Lakers; the Lakers then won a tiebreaker with Chicago.
• The Clippers (56-26) won a tiebreaker with Memphis.
The Orlando Magic, with a league-worst 20-62 record, will have a 25 percent chance of winning the lottery.