MATH 10041 Lecture Notes - Lecture 9: Mutual Exclusivity, Empirical Probability, Venn Diagram
15 Oct 2018
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Document Summary
People are not good at identifying truly random samples/experiments, so we need to rely on outside mechanisms such as coin flips. Random- no predictable pattern occurs and no digit is likely to occur more than any other. Probability- measures how often random event occur. After infinitely many repetitions (which is impossible) Theorize instead that you"ll get heads 50% of the time. Empirical probability- relative frequencies based on an experiment of observations. Ex. toss a coin 10 times, 6 times you get heads. Theoretical probabilities are always the same value. Simulations- experiments used to produce empirical probabilities. Probabilities are numbers between 0 and 1. Can be expressed as fractions, decimals, or percents. If there is a 90% chance it will rain tomorrow, there is a 10% chance it won"t rain tomorrow because 100-90=10. Sample space- set of all possible outcomes. Event- one subset of a sample space. Simple event- when only one outcome is possible.
