Consider the discussion of radial probability functions in “A Closer Look” in Section 6.6.(a) What is the difference between the probability density as a function of r and the radial probability function as a function of r ? (b) What is the significance of the term in the radial probability functions for the s orbitals? (c) Based on Figures 6.18 and 6.21, make sketches of what you think the probability density as a function of r and the radial probability function would look like for the 4s orbital of the hydrogen atom.

INFO 1020: Analytics II Class Notes Mon. 1/04 Chapter 4: Introduction to Probability • Experiments • What is an experiment • Deﬁnition: Any process which has a well-deﬁned set of outcomes • Example T/F question: “An experiment is a process with a set of known outcomes and a set of unknown outcomes” • Example Experiment: Toss 3 coins and observe Heads or Tails • Sample Space: • Deﬁnition: Set of all possible outcomes • Probability • Deﬁnition: Anumber between and including 0 and 1. It indicates the frequency with which something happens. Can be expressed as a percent, fraction, or decimal • 3 Methods of Assigning Probability • Subjective: Personal opinion of the like