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Chapter 4 Elementary Probability Theory 4.1 Notes • Probability – the ___________ of an event happening (between __ and __). • How to find probabilities – Intuition – __________________________ – Relative frequency – ___________________ __________. Relative frequency = – Theoretical/Formula – probability that should occur if ___________________________. When outcomes are equally likely, then Probability = e.g. If you are guessing on a multiple choice question that has 4 responses, the probability of getting the question right is P= Sample Space is the set of all possible outcomes. e.g. If you toss a coin, the sample space is Ex. 1 Human eye color is controlled by a single pair of genes (one from each parent). Brown eyed color, B, is dominant over blue eyed color, b. Therefore if a person has Bb, then the brown dominates and they have brown eyes. Mother Father B b B BB Bb b Bb bb If both parent have Bb, what is the probability their child will have blue eyes? What is the probability the child will have brown eyes? P(A) = P(AC) = P(event) must be between __ and __ inclusively. The closer a probability is to __, the better chance it has of happening. The sum of the probabilities of a sample space must equal __. The probability that an event occurs plus the probability that the event does not occur = __. Assignment • Day 1 P. 130 #1-5 odd, 9, 10, 12, 15 • Day 2 P. 130 #2-6 even, 11, 13 skip a, 14