Bud traded as the Nevada Dice Co from mid 1950's until mid 1970's. However, the case probably has little to do with the dice.

Gamblers General sell those dice cases and I picked up a gross last year. A couple had Nevada Dice Co lablels on but blue not green.

Also beware that GGS sell Four Queens dice that have never seen the inside of the casino. Some are numbered, some are not.

BJ dice were provided to casinos in sticks wrapped in paper/foil.

The dice experts will give you more info on the dice. This link gives you a bit more history on Bud.

http://www.marlowcasinochips.com/links/genetrimble/borland/bjmolds.htm