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Basic Probability

This review covers essential concepts of basic probability, including formulas for calculating probabilities and the differences between sampling with and without replacement. It emphasizes understanding the sample space and how to use it to determine possible outcomes in binomial problems. The discussion also highlights the significance of applets for illustrating probability concepts and provides an example involving free throws to identify the sample space. Additionally, it touches on using the unit normal table to find probability values associated with z-scores.

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Basic Probability

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  1. Basic Probability Part 1: Mon, March 15th

  2. Review of Basic Probability • Formula for p = f / N Or…p = # possible ways to get outcome of interest total # possible outcomes Denominator (total # possible outcomes) also called “Sample Space” (S)

  3. (cont.) • Sampling w/replacement – each individual (outcome) is replaced into population before next selection • Sampling w/o replacement – once a person (outcome) is chosen, it is kept out of remaining population

  4. Lab 14 • Use applets to demonstrate probability concepts • Focus on sample space (all possible outcomes) • If a binomial problem (only 2 possible outcomes on each trial), can determine total # possible outcomes using 2n, where n=# trials • Shoot 3 free throws – what is samp space? Should have 23 = 8 outcomes • HHH, HHM, HMH, MHH, HMM, MHM, MMH, MMM

  5. (cont.) • Use unit normal table to determine probabilities (instead of %s) associated with different z scores • Remember z = (x – xbar) / Sx

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