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Bellringer 8/18/14

Bellringer 8/18/14. 1) What is the Probability of your phone landing screen side down when you drop it? 2) How do you express Probability as a ratio?. **Turn in your Take home test to the appropriate current work folder for your class** 1 st – Green, 2 nd – Gray, 7 th - Blue.

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Bellringer 8/18/14

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  1. Bellringer 8/18/14 1) What is the Probability of your phone landing screen side down when you drop it? 2) How do you express Probability as a ratio? **Turn in your Take home test to the appropriate current work folder for your class** 1st – Green, 2nd – Gray, 7th - Blue

  2. Probability words to know! Probability: a measure of the likelihood of an event. It is the ratio of the number of ways a certain event can occur to the number of possible outcomes. The probability of a given event is a fractionbetween 0and 1. The sum of all probabilities of every outcome should always equal 1. • Experiment: a process or ACTION with an observable result. • Outcomes: the observable results of an experiment. • Sample Space: the set of ALL possible outcomes of an experiment. • Event: an outcome or set of outcomes of an experiment. • Subset: a set whose elements are all in another set.

  3. Need to know about Sets! • Set: a list or collection of items • Subset – denoted by ⊂ , as in A ⊂ B where A is a subset of B, where all of the elements of A are also in B • Empty set: also known as a null set, is a set with no elements denoted by • Equal sets: sets with the exact same elements • Union of Sets: joining of all of the elements of two sets denoted by , where A and B are being combined • Intersection of sets: the elements that are alike or shared by two sets denoted by , the intersection of A and B contains the elements that are in both A and B • Complement of a set: the set of elements that are in some universal set, but not in set A, denoted by Ā or A’

  4. Common Errors/Misconceptions • confusing the meanings of event and experiment • confusing union and intersection of sets • neglecting order, thereby neglecting to identify different outcomes such as HT and TH

  5. Guided Practice • Example 1 • Hector has entered the following names in the contact list of his new cell phone: Alicia, Brisa, Steve, Don, and Ellis. He chooses one of the names at random to call. Consider the following events. • B: The name begins with a vowel. • E: The name ends with a vowel. • Draw a Venn diagram to show the sample space and the events B and E. Then describe each of the following events by listing outcomes. B E

  6. Guided Practice • Example 2 • An experiment consists of rolling a pair of dice. How many ways can you roll the dice so that the product of the two numbers rolled is less than their sum?

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