PROBABILITY 2013-12-10.  A fair six-sided die is rolled. What is the probability that the result is even?

Slides:

Advertisements

Similar presentations

MUTUALLY EXCLUSIVE AND INDEPENDENT EVENTS

Advertisements

Simple Probability and Odds

Dealing with Data Probability. What’s the probability? What’s the probability of the spinner stopping in the yellow section. (All the sections are equal.)

Probability of two events Example A coin is tossed twice. Draw a probability sample space diagram showing all the possible outcomes. What is the probability.

Dice Games & Probabilities. Thermo & Stat Mech - Spring 2006 Class 16 Dice Games l One die has 6 faces. So, the probabilities associated with a dice game.

What is Probability? The study of probability helps us figure out the likelihood of something happening. In math we call this “something happening” or.

EXAMPLE 1 Construct a probability distribution

7.7 Simple Probability Obj: to complete the probability of simple events.

What is Probability? The study of probability helps us figure out the likelihood of something happening. In math we call this “something happening” or.

EXAMPLE 1 Construct a probability distribution Let X be a random variable that represents the sum when two six-sided dice are rolled. Make a table and.

Mutually Exclusive and Inclusive Events

13-1 Experimental and Theoretical Probability. Outcome: the possible result of a situation or experiment Even: may be a single outcome or a group of outcomes.

Bell Work: Factor x – 6x – Answer: (x – 8)(x + 2)

EXAMPLE 1 Find probabilities of events You roll a standard six-sided die. Find the probability of (a) rolling a 5 and (b) rolling an even number. SOLUTION.

Notes Over 12.5 Probability of Independent Events 1. You are playing a game with 2 numbered cubes. Find the probability of rolling a sum of 8 on the first.

10.1 & 10.2 Probability & Permutations. WARM UP:

Unit 4 – Combinatorics and Probability Section 4.4 – Probability with Combinations Calculator Required.

An outcome is a possible result An event is a specific outcome Random means all outcomes are equally likely to occur or happen. random = fair A favorable.

16/4/1435 h Sunday Lecture 2 Sample Space and Events Jan

Section 2 Probability Rules – Compound Events Compound Event – an event that is expressed in terms of, or as a combination of, other events Events A.

MULTIPLE CHOICE TEST 1.Wjfnthdutk? a.)vnb b.)hfg c.)yrt d.)lpo 2.Tudngimktpl? a.)vnb b.)hfg c.)yrt d.)lpo 3.Nbdfrrfewvxc? a.)vnb b.)hfg c.)yrt d.)lpo 4.Cuytgfdsaq?

Notes on PROBABILITY What is Probability? Probability is a number from 0 to 1 that tells you how likely something is to happen. Probability can be either.

Notes Over 12.4 Probability of Events A standard six-sided number cube is rolled. Find the probability of the given event. 1. an even number or a one.

Chapter 9 Review. 1. Give the probability of each outcome.

Simple Probability Pre-Ap Geometry. Probability measures the likelihood that a particular event will occur. The measures are express as a ratio. Simple.

1.4 Equally Likely Outcomes. The outcomes of a sample space are called equally likely if all of them have the same chance of occurrence. It is very difficult.

The Addition Rule TUTORIAL Summary To find the probability of event A or B, we must first determine whether the events are mutually exclusive.

Adding Probabilites 0.5. Probability: the likelihood the event will occur. must be a # between 0 and 1 Certain to occur: probability of 1 Cannot occur:

EXAMPLE 4 Find probabilities of complements Dice When two six-sided dice are rolled, there are 36 possible outcomes, as shown. Find the probability of.

PROBABILITY (Theoretical) Predicting Outcomes. What is probability? Probability refers to the chance that an event will happen. Probability is presented.

Sect Probability. Def: Probability is the measure of the chances of an event happening A desired outcome is called a success Any other outcome is.

Chapter 10 – Data Analysis and Probability 10.7 – Probability of Compound Events.

How do you find the probability of pulling a blue marble? A bag is full of 3 blue, 4 green and 2 red marbles.

HWTP 1.How many distinguishable arrangements are there of the letters in the word PROBABILITY? 2.A and B are special dice. The faces of A are 2,2,5,5,5,5.

P4. Probability Essential Question: How is an independent event defined?

1 Discrete Structures - CSIS2070 Text Discrete Mathematics and Its Applications Kenneth H. Rosen Chapter 4 Counting.

Probability Bingo!. When two fair dice are rolled, what is the probability of getting a sum of 5?

Solutions to the HWPT problems. 1.How many distinguishable arrangements are there of the letters in the word PROBABILITY? Answer: 11!/(2! 2!) 2.A and.

Probability How likely it is that something will happen.

Probability Quiz. Question 1 If I throw a fair dice 30 times, how many FIVES would I expect to get?

Experiments, Outcomes and Events. Experiment Describes a process that generates a set of data – Tossing of a Coin – Launching of a Missile and observing.

Independent and Dependent Events Lesson 6.6. Getting Started… You roll one die and then flip one coin. What is the probability of : P(3, tails) = 2. P(less.

PROBABILITY, EVENTS AND OUTCOMES Yo yo yo welcome back!!!!!!!! Happy NEW YEAR! SWBAT: Define probability, event & outcomes Determine the probability of.

The Definition Of Conditional Probabilities The conditional probabilities of an event B given event A is the probability that B will occur given that.

How likely is something to happen..  When a coin is tossed, there are two possible outcomes: heads (H) or tails (T) We say the probability of a coin.

The Counting Principle Permutation Or Combination.

8.7 – Probability. Probability Probability = the likelihood that an event will occur Outcomes = possible results of an event Probability formula: P(event)

Counting and Probability. Imagine tossing two coins and observing whether 0, 1, or 2 heads are obtained. Below are the results after 50 tosses Tossing.

Probability GPS Algebra. Let’s work on some definitions Experiment- is a situation involving chance that leads to results called outcomes. An outcome.

Chapter 12 Lesson 3 Probability. Vocabulary O Probability- A ratio that measures the chances of an event occurring. O Success- The desired outcome of.

Section 12.2 Probability.

Compound Probability.

1.9 Probability.

10.1 Notes Need to grab a packet from the back for notes

Theoretical Probability

Lesson 10-6 Theoretical Probability

HWTP- practice for the test

Probability Vocabulary:

Compound Probability.

1.7 Addition Rule - Tree Diagrams (1/3)

Probability of TWO EVENTS

Probability of two events

Probability of Dependent and Independent Events

video Warm-Up Lesson 14 Exit card

Notes 13-5: Conditional Probability

Presentation transcript:

PROBABILITY

 A fair six-sided die is rolled. What is the probability that the result is even?

A goblet contains 10 red marbles, 4 green marbles, and 6 blue marbles. If a marble is randomly chosen, what is the probability that it is red?

 A fair six-sided die is rolled. What is the probability that the result is more than 3?

 A fair six-sided die is rolled. What is the probability that the result is a 5?

 Two dices roll at the same time, what is the probability of getting the same value for both dice?

 Two dices roll at the same time, what is the probability for getting the sum of value equal to 8

 Two dices roll at the same time, what is the probability for getting the sum of value greater or equal to 8

COMBINATION AND PERMUTATION

 If there is a 6 faces fair dice and roll, what is the number of total event?

 If there are two 6 faces fair dice and roll, what is the number of total event with repeating?

 If there are two 6 faces fair dice and roll, what is the number of total event without repeating?