Probability theory

This program will help in the study and solution of problems in probability theory.

The program contains formulas and definitions of probability theory, as well as calculations by formulas, calculations of which are given by actions. Thanks to this, it is possible to understand, assimilate and see in practice the action of probability theory.

If you flip a coin 5 times, how many times will the tails fall out?

If you roll the dice 7 times, how many times will 2 be rolled?

And if you flip a coin and dice 1,000,000 times?

What is the probability that defective parts out of a total of 750 pieces will be from 15 to 28?

Carry out 10 million tests in a few seconds on your smartphone / tablet!

The calculator allows you to calculate:

- the probability of the event (the number of favorable outcomes, all possible outcomes);

- conditional probability of an event;

- the relative frequency of the event (the number of occurrences of the event, the total number of trials);

- the probability of combining events;

- the probability of combining independent events;

- the probability of occurrence of one of the joint events;

- calculation by the formula of total probability;

- combinatorics: permutations (up to 10,000 elements);

- combinatorics: permutations with repetitions (up to 100 elements);

- combinatorics: placement (up to 5,000 elements in a placement of 100,000,000);

- combinatorics: placements with repetitions (up to 5,000 elements in a placement of 1,000,000);

- combinatorics: combinations (up to 10,000 elements in combination of 10,000);

- combinatorics: combinations with repetitions (up to 10,000 elements in a combination of 10,000);

- addition of probabilities of incompatible events;

- opposite independent events;

- calculation by the local Laplace formula, taking into account the value of the Gauss function;

- calculation by the Bayes formula;

- calculation according to the Bernoulli formula;

- Laplace's integral formula;

- the probability of deviation of the frequency of occurrence of the event from the probability of occurrence of the event;

- table of values of the Gaussian function;

- table of values of the Laplace function;

Tests:

- tossing a coin;

- throwing dice (dice);