Chances, Probabilities, and Odds

Slides:

Advertisements

Similar presentations

Combinations Accelerated Math II November 17, 2014.

Advertisements

Counting Principles The Fundamental Counting Principle: If one event can occur m ways and another can occur n ways, then the number of ways the events.

Statistics Review. Box-and-Whisker Plots The Parts of a Box and Whisker Plot Name the parts of a Box-and-Whisker Plot MedianUpper Quartile Lower.

How many possible outcomes can you make with the accessories?

Sample Space: The Counting Principle By: The Math Ladies.

Permutations & Combinations Section 2.4. Permutations When more than one item is selected (without replacement) from a single category and the order of.

Permutations and Combinations AII Objectives:  apply fundamental counting principle  compute permutations  compute combinations  distinguish.

Expected value a weighted average of all possible values where the weights are the probabilities of each outcome :

Transparency 3 Click the mouse button or press the Space Bar to display the answers.

 Samson wants to climb a mountain. He knows that if the slope is over 2, he will fall. Will he fall? (1, 0) (5, 9) m = 9 – 0 9 – = m = 2.25 Samson.

4.3 Counting Techniques Prob & Stats Tree Diagrams When calculating probabilities, you need to know the total number of _____________ in the ______________.

Permutations and Combinations. Objectives:  apply fundamental counting principle  compute permutations  compute combinations  distinguish permutations.

Counting and Probability It’s the luck of the roll.

Counting Techniques. Multiplication Rule of Counting If a task consists of a sequence of choices in which there are p selections for the first choice,

Chapter  Determine how many different possibilities are possible:  1. There are 3 different ice cream flavors and 5 different toppings. You.

Permutations, Combinations, and Counting Theory AII.12 The student will compute and distinguish between permutations and combinations and use technology.

Introduction to Probability. 5.1 Experiments, Outcomes, Events, and Sample Spaces Sample space - The set of all possible outcomes for an experiment Roll.

Combinations A combination is an unordered collection of distinct elements. To find a combination, the general formula is: Where n is the number of objects.

1.A bank contains 6 quarters, 4 nickels, and 3 pennies. If I select 3 coins without looking, how many chances are there that I will select 1 of each coin?

Excursions in Modern Mathematics, 7e: Copyright © 2010 Pearson Education, Inc. 15 Chances, Probabilities, and Odds 15.1Random Experiments and.

Permutations and Combinations

Permutations and Combinations. Objectives:  apply fundamental counting principle  compute permutations  compute combinations  distinguish permutations.

Lesson #35 Outcomes and Probability. Probability is used in….

Permutations, Combinations, and Counting Theory

Honors PreCalculus: Section 9.1 Basic Combinatorics.

Lesson 0.4 (Counting Techniques)

37. Permutations and Combinations. Fundamental Counting Principle Fundamental Counting Principle states that if an event has m possible outcomes and another.

Probability. 3.1 Events, Sample Spaces, and Probability Sample space - The set of all possible outcomes for an experiment Roll a die Flip a coin Measure.

Probability Lesson 32Power Up GPage 210. Probability.

Discrete Math Section 15.3 Solve problems using permutations and combinations Read page Combinations and permutations.

Permutations and Combinations

Counting Introduction to Probability & Statistics Counting.

Permutations and Combinations AII Objectives:  apply fundamental counting principle  compute permutations  compute combinations  distinguish.

How many ways could…?.  There are 9 boys and 8 girls in the student council at Hermitage High School. How many ways could a single student be selected.

Permutations and Combinations. Fundamental Counting Principle Fundamental Counting Principle states that if an event has m possible outcomes and another.

13 Lesson 1 Let Me Count the Ways Fundamental Counting Principle, Permutations & Combinations CP Probability and Statistics FA 2014 S-ID.1S-CP.3S-CP.5.

Discrete Math Section 16.1 Find the sample space and probability of multiple events The probability of an event is determined empirically if it is based.

MAT 110 Workshop Created by Michael Brown, Haden McDonald & Myra Bentley for use by the Center for Academic Support.

Permutations and Combinations

Counting Unit 1.

Elementary Counting Techniques & Combinatorics

Counting Techniques Prob & Stats.

Counting Techniuqes.

Discrete Math Section 15.3 Solve problems using permutations and combinations Read page Combinations and permutations.

The Multiplication Rule (4.2.3)

Permutations and Combinations

Permutations and Combinations

Permutations and Combinations

Lesson 11-1 Permutations and Combinations

Permutations and Combinations

13-1 Combinations and Permutations

Permutation & COmbination

4/26 Learning target To be able to find the number ways of an event, combination,permutation In class Notes/exit HW: 12-2 Skills practice# 1-10 first.

Permutations and Combinations

First lecture fsalamri Faten alamri.

How many possible outcomes can you make with the accessories?

Counting Principle.

The Multiplication Principle

Accelerated Precalculus

Counting Methods and Probability Theory

Bellwork Practice Packet 10.3 B side #3.

Counting Methods and Probability Theory

Day 2 - Combinations.

Permutations and Combinations

Standard DA-5.2 Objective: Apply permutations and combinations to find the number of possibilities of an outcome.

What is the difference between a permutation and combination?

Permutations and Combinations

Lecture 7: Permutations and Combinations

Permutations and Combinations

Presentation transcript:

Chances, Probabilities, and Odds Discrete Math Chances, Probabilities, and Odds

Sample Space: All possible outcome in a given experiment Name the sample space of flipping 2 coins 𝐻𝐻,𝐻𝑇,𝑇𝐻,𝑇𝑇

Multiplication Rule The number of items in each group is multiplied to find the total combinations I have 5 dress pants, 6 shirts and 9 ties. How many possible outfits do I have? 5∗6∗9=270 𝑜𝑢𝑡𝑓𝑖𝑡𝑠

Permutation v. Combination Permutation: Order Matters 𝑛 𝑃 𝑟 = 𝑛! 𝑛−𝑟 ! Combination: Order does not Matter 𝑛 𝐶 𝑟 = 𝑛! 𝑛−𝑟 !𝑟!

The board of directors of XYZ Corporation has 15 members. How many different slates of four members (a President, a Vice President, a Treasurer, and a Secretary) can be chosen? 15 𝑃 4 How many delegations of four members can be chosen? 15 𝐶 4

Problems Page 577 #2-36 even