Wiktionary
phr. 1 (context idiomatic English) An unacceptable alternative. 2 (context idiomatic English) An unfavorable result. 3 (context informal English) (non-gloss definition: Used to express a negative outcome or decision)
Wikipedia
No Dice is an album by British/Welsh rock band Badfinger, issued by Apple Records and released on 9 November 1970. Their second album under the Badfinger name and third album overall, No Dice significantly expanded the British group's popularity, especially abroad. The album included both the hit single " No Matter What" and the song " Without You", which would become one of the most successful compositions of the rock era.
Usage examples of "no dice".
No cards, no dice, no games of chance allowed in the dormitories, on pain of expulsion.
Blaise moussed up his hair and put on a stressed-leather jacket and enough gold chains to make No Dice jealous.
Yet I saw none of the touches that soldiers usually kept in their sleeping places: no dice or gaming pieces, no luck charms given by their sweethearts, no carefully folded shirt set aside for an evening in the tavern.