This lesson introduces the basic ideas of probability and some of the laws of probability. I. Objectives Understand the concept of a random experiment, its sample space, and the definition of probability. Learn to use the addition law, the complement law, and the multiplication law for independent events. Explanation and Examples A. Deterministic or Probabilistic Models Solutions of differential equations such as are deterministic models. However, if the observation on x at time t is the true value plus some random noise due to measurement error or changes in the experimental conditions, the equation is considered to be a probabilistic model .
Probability is the foundation of statistics.
Some simple probabilistic models will be introduced in this section. Roll one or two dice and observe the upturned face. Randomly draw a card from a deck of cards and note its suit. Select a chip from a bowl of different colored chips and note the color. Randomly select a resistor and measure its resistance.