PPT-Counting Methods and Probability

Algebra 2 Chapter 10 This Slideshow was developed to accompany the textbook Larson Algebra 2 By Larson R Boswell L Kanold T D amp Stiff L 2011 Holt McDougal Some examples and diagrams are taken from the textbook. Most of the bounds obtained depend solely on the number of edges in the graph in question and not on the number of vertices The bounds obtained impr ove upon various previously known results 1 Introduction The main contribution of this paper is a co Mathematics in Today's . World. Last Time. We talked about computing probabilities when all of the outcomes of a random phenomenon are “equally likely”. We also looked at a way to experimentally determine probabilities using “simulations”. Uses of Probability. Probability is used all of the time in real life. Gambling . Sports. Weather. Insurance. Medical Decisions. Standardized Tests. And others. Definition of Probability. “The . likelihood of something . Albert Gatt. Corpora and statistical methods. In this part…. CSA5011 -- Corpora and Statistical Methods. We begin with some basic probability theory:. the concept of an experiment. three conceptions of probability:. Section 2.4. Counting Rules Useful in Probability. Jiaping. Wang. Department of Mathematical Science . 01/23/2013, Wednesday. Outline. Fundamental Principle of Counting. . . Permutations. . Probability is used all of the time in real life. Gambling . Sports. Weather. Insurance. Medical Decisions. Standardized Tests. And others. Definition of Probability. “The . likelihood of something . One-Part Tasks. The results for simple, one-part tasks can often be listed easily. . Tossing a fair coin:. Rolling a single fair die. Heads. or . tails. 1, 2, 3, 4, 5, 6. Consider a club . N. with four members:. Sixth Edition. Douglas C. Montgomery George C. . Runger. Chapter 2 Title and Outline. 2. 2. Probability. 2-1 Sample Spaces and Events . 2-1.1 Random Experiments. 2-1.2 Sample Spaces . Sixth Edition. Douglas C. Montgomery George C. . Runger. Chapter 2 Title and Outline. 2. 2. Probability. 2-1 Sample Spaces and Events . 2-1.1 Random Experiments. 2-1.2 Sample Spaces . 2 of these and 4 of those. A classic type of problem. You have various subgroups.. When you pick 6, what is the probability that you get 2 of this group and 4 of that group?. Jellybeans: . 30 . red, 30 yellow, 40 other. 2 of these and 4 of those. A classic type of problem. You have various subgroups.. When you pick 6, what is the probability that you get 2 of this group and 4 of that group?. Jellybeans: . 30 . red, 30 yellow, 40 other. Principle and Permutations. 4. Use the multiplication counting principle to determine the number of ways to complete a process involving several steps.. Use . factorials to count the number of permutations of a group of individuals. . without replacement, . find the probability of getting these results:. All kings. All diamonds. All sevens. Counting Rules. Counting Rules. Many times, we must know how many possible outcomes there are for a sequence of events.. Thanh Nguyen*, Chau Pham*, Khoi Nguyen, . Hoai. Nguyen. ECCV 2022. * equal contribution. Problem Statement. Training. : Images with all dots and few bounding boxes are given. Testing. : Given an input image with few box exemplars .