In the book "The Golden Ticket. P, NP, and the Search for the Impossible" By Lance Fortnow, It contains the following story:
After attacking the geneticists, the lead “philosophers” in Russia went after the field of probability because of its notion of independent events. Probability theory measures the chances that some events will happen, such as the probability that two dice will sum to five is one out of nine. Probability gives a way of describing independent events. For example, when you roll two dice, the value of one die does not depend on the outcome of the other. This didn’t fit well with Marxist philosophy, under which everything is interconnected and dependent on everything else. These philosophers met with Kolmogorov and challenged him: “Under Marxism there cannot be independent events.” Kolmogorov realized the importance of his next words, for it could greatly affect the course of Russian mathematics. He responded, “But, you are mistaken.” The agents believed they had Kolmogorov—to challenge the beliefs of determinacy meant an open challenge to the fundamental beliefs of Marxism, which could quickly lead to the end of Kolmogorov’s career. Kolmogorov went on, “Consider a priest that during a drought prays for rain. The following day it rains. These events are independent.” The agents couldn’t counter. Any dependence in these events would acknowledge the power of religion, which in itself would also be considered an attack on Marxist dogma. Kolmogorov had saved probability.
The book is for a wide general audience and the story is interesting. I am asking if there is more history, or more I could read about this. Marxism and genetics is well documented (See Lysenkoism) but I am looking for similar information, either on this interaction, or marxist opposition to the notion of independent events. Some work has been written on Kolmogorov's ideology with respect to soviet mathematics, including opposition to Lysenkoism, but I can't find any more information on this specific story.