Discover the fundamentals of probability calculus
Introduction to the properties of probability laws

In the case of the discrete law of throwing a die, the probability of rolling a 1 or a 6 is equal to the sum of the "sticks" of classes 1 and 6, i.e. $\frac{1}{6}+\frac{1}{6}\approx \mathrm{33,34}\text{\%}$ . The probability of making a 1 and a 6 is obviously zero, since the throw of a die cannot produce two simultaneous results.

For a continuous law, calculating a probability only makes sense over an interval. It is a surface calculation. In the case of the continuous uniform law, for example, calculating the probability of obtaining a value between 10.018 and 10.022 involves calculating the ratio between the area of the rectangle between 10.018 and 10.022 and the total area equal...