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Algebra 1 26/27 Jan 2011 SILENTLY. Write down HOMEWORK DUE next class pg. 111: 4, 5 Set up and solve proportions Include the basic info and show your steps WARM UP: pg. 111: 1 a – d start by writing the problem on your paper and show your steps. Objective.
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Algebra 1 26/27 Jan 2011SILENTLY Write down HOMEWORK DUE next class pg. 111: 4, 5 Set up and solve proportions Include the basic info and show your steps WARM UP: pg. 111: 1 a – d start by writing the problem on your paper and show your steps
Objective Students will be able to create models of probability to determine the number of possible outcomes. Homework Due TODAY Check your work: √ or X for full points pg. 562: 8 Yesterday’s - Class work student exemplars
Supply Check and Syllabus Supplies to bring to every class: composition book lined paper and graph paper pencil text book SUPPLY CHECK– please have your comp book and text out on your desk.
a few more words experimental or observed probability: calculated using collected data theoretical probability: calculated by analyzing a situation rather than by performing an experiment # of desired outcomes actually chosen Observed Probability = ---------------------------------------- Total # of TRIALS # of desired outcomes possible Theoretical Probability = ---------------------------------------- # of total possible outcomes
Calculating probability In our coin toss, it is easy to see the number of possible outcomes….heads or tails. What about more complicated situations? What are some orderly ways we can count the number of possible events? We can use tree diagrams, lists or area models.
what is the probability of tossing a coin exactly three times and getting three heads? One trial = 3 tosses What are the possible outcomes? HHH HHT HTH HTT TTT TTH THT THH P(HHH) = P(2 heads) = P(2 heads and a tail) = P(2 heads or 2 tails) = Is this theoretical or observed probability? Explain.
Trees Diagrams A tree diagram is a device used to list all possibilities of a sequence of events in a systematic way. Start by listing each of the first category of choices. Leave space to add branches. Add each of the second type of choices to EACH of the previous branches. Continue until all choices are added to the end of the previous branch. Follow each branch from start to end to determine the type and number of events. HOW MANY CHOICES? Count the number at the END of each branch.
example Suppose a sales rep can travel from New York to Pittsburgh by plane, train, or bus and from Pittsburgh to Cincinnati by bus, boat or automobile. List all possible ways he can travel from New York to Cincinatti. If he chooses his travel method randomly, find the probabilities: 1. P(only plane) 2. P(plane from NY to Pitt and train from Pitt to Cinn) 3. P (plane and train) Justify your answers using A.B.E.
Pizza anyone? Paula is ordering a pizza for her family. There are 6 different toppings to choose from: Pepperoni, Sausage, Ham, Mushrooms, Onions or Cheese She chooses onions and peppers but the waitress loses the order. The cook randomly chooses two toppings for Paula’s pizza. What is the chance she will get what she ordered? THINK--- PAIR---SHARE on white boards