The theory of independent experiments is the analytically simplest and most advanced part of probability theory.

Independence is an attribute of man, the social being; it should not be viewed as the development to perfection of a natural, biological attribute of living matter. This is, in essence, an evolutionary viewpoint. Of course, we do not deny evolutionism itself. Science has long established the fact that man is a product of ages of evolution. Man is a product of evolution, but not his independence. Independence is a social product. Independence is an attribute given to man by society, not nature; it is not a natural gift, but has been formed and developed socially and historically.

The little-understood concept of interdependence appears to many to smack of dependence, and therefore, we find people, often for selfish reasons, leaving their marriages, abandoning their children, and forsaking all kinds of social responsibility — all in the name of independence.

Independence is happiness.

To be independent to my mind does not mean to be isolated, to be the priest or the Levite, but rather to be the good Samaritan. There is no real independence save only as we secure it through the law of service.

The classical theory of probability was devoted mainly to a study of the gamble's gain, which is again a random variable; in fact, every random variable can be interpreted as the gain of a real or imaginary gambler in a suitable game.

It is the concept of likelihood that a real understanding of probability resides, and we must learn how to measure it.

Probability is too important to be left to the experts. [...] The experts, by their very expert training and practice, often miss the obvious and distort reality seriously. [...] The desire of the experts to publish and gain credit in the eyes of their peers has distorted the development of probability theory from the needs of the average user. The comparatively late rise of the theory of probability shows how hard it is to grasp, and the many paradoxes show clearly that we, as humans, lack a well grounded intuition in the matter. Neither the intuition of the man in the street, nor the sophisticated results of the experts provides a safe basis for important actions in the world we live in.

Probability is the mathematics of uncertainty. ...many modern theories have uncertainty built into their foundations. Thus learning to think in terms of probability is essential.

Historically, the original purpose of the theory of probability was to describe the exceedingly narrow domain of experience connected with games of chance, and the main effort was directed to the calculation of certain probabilities.

Interdependence is a choice only independent people can make

Personal independence is a virtue and it is the soul out of which comes the sturdiest manhood. But there can be no independence without a large share of self-dependence, and this virtue cannot be bestowed. It must be developed from within.

The theory of probability combines commonsense reasoning with calculation. It domesticates luck, making it subservient to reason.

On the maturity continuum, dependence is the paradigm of you — you take care of me; you come through for me; you didn’t come through; I blame you for the results. Independence is the paradigm of I — I can do it; I am responsible; I am self-reliant; I can choose. Interdependence is the paradigm of we — we can do it; we can cooperate; we can combine our talents and abilities and create something greater together. Dependent people need others to get what they want. Independent people can get what they want through their own effort. Interdependent people combine their own efforts with the efforts of others to achieve their greatest success.