Bellringer 8/18/14
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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. 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. - PowerPoint PPT Presentation
Transcript of Bellringer 8/18/14
Bellringer 8/18/141) 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
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 fraction between 0 and 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.
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’
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
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
Guided Practice
Example 2An 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?
