PPT-Probability Lesson 4.8 Combinations and Probability

4 Compute the number of combinations of n individuals taken k at a time Use combinations to calculate probabilities Use the multiplication counting principle and combinations to calculate probabilities. Objectives:. I can predict and find the number of combinations that can be made from a given number of options. I can make a tree diagram to find all of the possible combinations. Vocabulary. Combination:. Hanging Baskets. We are pleased to share with you our top 20 combinations for. Spring 2013. Out of over 60 combinations these are the top picks from industry brokers, growers, and over 300 home gardeners.. Definition of Combination. An . arrangement. . of objects in which the . order. . of selection . does NOT matter. .. . Ex: You have to visit three out of your four friends houses: Andrew (A), Betty (B), Carlos (C), Dave (D). What are the different ways to select the 3 houses to visit?. Combinations. Selection of objects WITHOUT regard to order.. Order does not matter. Ex: selecting two side dishes from a list of five. The order in which you select your dishes doesn’t matter.. What is a Combination?. Permutations with Repetition. Theorem 1: . The number of . r-permutations. of a set of . n. objects with repetition allowed is . n. r. . .. Example 1:. How many strings of length . r. can be formed from the English alphabet?. Statistics group. Axelborg. 16/01 2012. Anders . Stockmarr,. DTU Data Analysis. Joint work with . Peter Heegaard . and . Nanna Skall Sørensen. Acute Phase Proteins – APP’s:. Proteins whose plasma concentrations . Urn models. We are given set of n objects in an urn (don’t ask why it’s called an “. urn. ” - probably due to some statistician years ago) .. We are going to pick (select) r objects from the urn in. Section . 6.5. Permutations with Repetition. Theorem . 1. : The number of . r. -permutations of a set of . n. objects with repetition allowed is . n. r. .. . Example. : How many strings of length . Generating Permutations. Many different algorithms have been developed to generate the n! permutations of this set.. We will describe one of these that is based on the . lexicographic . (or . dictionary. Theoretical Probability. Question #1. Find the theoretical probability . of . rolling . a 2 or 3.. Question #2. A bag contains 36 red, 48 green, . 22 yellow, and . 19 purple blocks. You pick one block from the bag at random. Find the theoretical probability. . Permutations & Combinations. Probability. Review. Counting Outcomes. Andy has 3 pairs of pants: 1 gray, 1 blue and 1 black. He has 2 shirts: 1 white and 1 red. If Andy picks 1 pair of pants and 1 shirt, how many different outfits does he have. Random Things to Know. Dice. . (singular = “die”). Most cases: 6 sided. Numbers 1,2,3,4,5,6. Special Cases: . 4 sided. 8 sided. 10 sided. 12 sided. 20 sided.  . Random Things to Know. Cards. Typical Deck: 52 cards. Algebra 2. Chapter 10. This Slideshow was developed to accompany the textbook. Larson Algebra 2. By Larson. , R., Boswell, L., . Kanold. , T. D., & Stiff, L. . 2011 . Holt . McDougal. Some examples and diagrams are taken from the textbook.. GPS: What is it?. GPS is the Graduation Planning System. It will provide students with a clear and direct path to degree completion. GPS Website – . http://www.kent.edu/gps. 2. GPS – Major Components.