Green’s Dictionary of Slang

(orig. US) impossible, out of the question, on no account.

c.1930		(ref. to late 19C) N. Kimball Amer. Madam (1981) 329: A Madam Dix had tried for a restraining order. No dice.
1940		S. Longstreet Decade 146: No dice. I ain’t no department store. All sales final here. [Ibid.] 317: He’s had his pan sprung by a sawbones and his finger maps etched out in acid – but it’s no dice. The Feds are on his tail.
1953		L. Uris Battle Cry (1964) 150: I’ll be up crap creek without a paddle if I give you a pass. No dice.
1965		H.S. Thompson letter 29 Jan. in Proud Highway (1997) 483: She makes her first 30 calls, and no dice.
1975		E. Torres Carlito’s Way 66: We’d spring her on the Cubans [...] with a big promotion — no dice.
1982		C. Crowe Fast Times at Ridgemont High [movie script] You see that sign? ‘No shirts. No shoes. No dice’.
1986		B. Geldof Is That It? 281: ‘Can you make a gesture?’ But no dice.
1999		N. Cohn Yes We Have No 65: No dice [...] nobody had seen him.
2004		Eble Campus Sl. Apr. 4: no dice – no possibility: Lend you another $10? No dice to that.
2012		(con. 1980s) I. Welsh Skagboys 395: No dice, fat boy!
2012		B. Willoughby ‘Spelled with a K’ in ThugLit Oct. [ebook] ‘I need for a little bit’ [...] ‘I’m off, dude, no dice’.