PPT-S1 PROBABILITY Using Tree Diagrams

A bag contains 5 black and 3 yellow beads A bead is selected at random from the bag and retained A second bead is then selected from the remaining beads Find the probability that both beads were . Set 8. PCFGs and the CKY Algorithm. PCFGs. We saw how CFGs can model English (sort of). Probabilistic. . CFGs put weights on the production rules. NP -> DET NN . with probability 0.34. NP -> . Simulation. Probability rules. Counting and tree diagrams . Intersection (“and”): the multiplication rule, and independent events. Union (“or”): the addition rule, and disjoint events. Venn diagrams. B. y. Daniel Christie. Probability. In a class of four brunettes, two blondes, and two people with black hair, what is the probability that any given person would be blonde?. 1/4. Venn Diagrams. Tree Diagrams. Gene Tree Probability. under the . Multispecies Coalescent . and its Application in the Inference of Population Tree. Yufeng. . Wu. Dept. of Computer Science & Engineering. University of Connecticut, USA. Training Set:. Play Tennis?. Weak. Rain Mild High Weak No. Rain Mild High Weak No. Overfitting. /. Underfitting. in Decision Trees. Over-fitting vs. Under-fitting. and. Terminology. Venn Diagrams . and. . Terminology. A school sixth form contains 150 students. 74 study mathematics, . 56 study physics and 39 study economics. . 14 students study all three of these subjects, 21 study mathematics & economics, 42 study mathematics and physics whilst 18 study physics and economics. Display this information using a Venn diagram.. Warm Up. The probability of a compound event is equal . to the . ratio of the number of ways an event . can occur . to the total number of equally . likely outcomes. .. The . sample space for a compound event can . Dr J Frost (jfrost@tiffin.kingston.sch.uk). www.drfrostmaths.com. . Last modified: . 17. th. November 2015. For Teacher Use. Recommended lesson structure:. Lesson 1. : Finding probabilities by enumerating outcomes (Ex 1). 6.4 . MATCHING PROBABILITIES . Probability is a measure of how likely an event is to occur.. Match one of the probabilities that follow with each statement about an event. (The probability . is usually . 7.9 and 7.10. Theoretical Probability. Theoretical Probability is the ratio of the number of ways an event can occur to the number of possible outcomes.. The . Theoretical Probability. of an event is the . Newick strings. Representing rooted trees using clades and rooted triplet trees. Constructing a rooted tree from its set of clades using Hasse Diagrams . Constructing a rooted tree from rooted triplet trees using Aho, Sagiv, Szymanski, and Ullman . candy . contains . seven raspberry-flavored . pieces, . five orange-flavored . pieces and . eight cherry-flavored . pieces. If . Ashley . pulls out a piece of . candy . without looking, what is the probability of her drawing the following. table is one way of displaying all the . outcomes. from throwing two dice and adding them together. It is called a . sample space . diagram. 9. 6. 5. 4. 8. 3. 2. 3. 1. 6. 5. 4. 3. 2. 1. +. Second die. and Tree Diagrams. 4. Use the general multiplication rule to calculate probabilities.. Use . a tree diagram to model a chance process involving a sequence . of outcomes. .. Calculate . conditional probabilities using tree diagrams..