Above, a 1934 plaque from the Big Apple Night Club at West 135th Street and Seventh Avenue in Harlem. Discarded as trash in 2006. Now a Popeyes fast food restaurant on Google Maps.

Entry from July 25, 2011
“The dice have no memory”

"The dice have no memory” means that, while the dice usually follow the odds, the dice don’t always do so. For example, there might be a roll of double sixes; another roll of double sixes isn’t probable, but “the dice have no memory” of what was just rolled. The saying (cited in print since at least 1954) is popular in gambling, but has been used in mathematics and in the financial community.

A Wall Street version of “the dice have no memory” is “A stock doesn’t know where it has been.”

Fundamentals of College Mathematics
By John Clark Brixey and Richard Vernon Andree
New York, NY: Holt
1954
Pg. 561:
The dice have no memory.

The Simplicity of Science
By Stanley D. Beck
Garden City, NY: Doubleday
1959
Pg. 99:
Dice have no memory, and probability is not based on a retroactive “law of averages.”

Elements of Mathematics
By J. Houston Banks
Boston, MA: Allyn and Bacon
1961
Pg. 333:
It has been aptly said that “dice have no memory.”

Logic by Way of Set Theory
By Henry Ehlers
New York, NY: Holt, Rinehart and Winston
1968
Pg. 329:
Hence, the adage “The dice have no memory.”

April 1979, Changing Times (The Kiplinger Magazine), pg. 46, col. 1
Now note two important facts: The dice have no memory, and the odds work out only over thousands of throws.

9 November 1980, Los Angeles (CA) Times, pg. S5 ad:
The pitt bosses have a little saying to explain this-"The dice have no memory.”