Venn Diagrams And Addition Rule Day 6
Venn Diagrams and Addition RuleDay 6LAST SECTION OF UNIT 8!!!!!!!!!!!!WE MADE IT!!!!!!
Mutually Exclusive (disjoint)AComplement of AWe sometimes calledthe complement of ACAABSee that they don't overlap at alland cannot occur at same time
Visual difference of "and" and "or"AABBEvent A and Event BEvent A or Event Bmeans both at same timemeans one or the other (or both)A BA BSometimes called the intersectionSometimes called the union
Example 1: A survey of 100 seniors where they checked off if they were taking APEnglish or AP Biology34 seniors are not in either AP English or AP Biology5 seniors are taking both AP English and AP Biologyand 44 seniors are taking AP Englisha) Create a Venn Diagram to represent the data, andfill in the counts for each region.
b) Fill in the chart belowRegion in the Venn DiagramIn the intersection oftwo circlesInside circle A, outsideof circle BInside circle B, outsideof circle AOutside of both circlesIn WordsIn symbolsCount
c) How many students are taking AP English?d) How many students are taking AP Biology?e) How many students are taking AP Biology or AP Englishf) How many students are taking AP Biology and AP English?g) How many students are taking AP Biology but not AP English?
Why can't I just add the students taking AP Englishand the students taking AP Biology to figure out"How many students are taking AP English or AP Biology?"
Example 2: In a computer science class, a professor surveyed the86 students about which computer language they are proficient in writingprograms (C or Java).18 students were proficient with both languages16 students were not proficient with either languagesand 52 were proficient with C .a) Create a Venn Diagram and answer the questions below.
b) How many students know Java?c) How many students know C ?d) How many students know Java or C ?e) How many students know Java and C ?f) How many students know Java but not C ?
g) What is the probability that a randomly selected studentknows Java?h) What is the probability that a randomly selected studentknows C ?i) What is the probability that a randomly selected student knowsC or Java?
Example 3:Use the following information to fill in the Venn Diagram below.100 people were asked if they liked Math, Science, or Social Studies.Everyone answered that they liked at least one.56 like Math43 like Science35 like Social Studies18 like Math and Science10 like Science and Social Studies12 like Math and Social Studies6 like all three subjects1.How many people like Math only?2.How many people like Science only?3.How many people like Social Studies only?
From the examples using "or" we found we need to avoid a double-count.Addition Rule of ProbabilityP(A or B) P(A) P(B) - P(A and B)P (A B) P(A) P(B) - P(A B)
Example 4: Find the probabilityA card is pulled from a standard deck.a) P(Ace or Spade)c) P(Jack or Even Number)b) P(Red or King)
A show is selected at randoma) P( Quiz show or on Channel 8)b) P (Drama or Comedy)c) P ( on Channel 10 or drama)
Exit Ticket:Rolling a 10 sided diea) P (5 or greater than 6)c) P(10 or odd number)b) P(less than 6 or even)
Exit Ticket:In a sales effectiveness seminar, a group of sales representativestried two approaches to selling a customer a new automobile:the aggressive approach and the passive approach. For 1160customers, the following record was kept:SaleNo 864741160a) P( Sale or No Sale)b) P( No sale and Aggressive)c) P(Aggressive or Sale)d) P(Passive and No Sale)
Homework:p. 161 #7-9, 17, 18, 21, 25
English or AP Biology 34 seniors are not in either AP English or AP Biology 5 seniors are taking both AP English and AP Biology and 44 seniors are taking AP English a) Create a Venn Diagram to re
Sets the hook applied at the very end of the Venn diagram environments (after the outline and labels are drawn but before the end of the tikzpicture environment). The Venn diagram en-vironments create coordinate nodes venn bottom left, venn top left, venn top right and venn bottom right, which may be referenced within the environment or in the .
Using notation and Venn diagrams, identify the union and intersection of sets Solve problems using Venn diagrams Translate between verbal propositions, symbolic language, and Venn diagrams 1. The sports offered at a retirement village are Golf (G), Tennis (T), and Swimming (S). The Venn diag
Venn diagrams for presentations Venn diagrams of more sets are possible, but tend to be confusing as a presentation tool because of the number of possible interactions. The following diagrams show Venn diagrams for ve sets on the left and for 7 sets on the right. 5-V
A Venn diagram in which no more than two shapes intersect at a given point is called simple. Figures 1, 7 and 8 display simple Venn diagrams. Figures 9 and 10 are non-simple Venn diagrams for 3 sets. To say a Venn diagram for n sets
Venn Diagrams (F) A collection of 9-1 Maths GCSE Sample and Specimen questions from AQA, OCR, Pearson-Edexcel and WJEC Eduqas. 1. Here is a Venn diagram. 30 students are asked if they have a dog or cat. 21 have a dog. 16 have a cat. 8 have a dog, but not a cat. Complete the Venn diagram. [3] 2.File Size: 484KB
A Venn diagram is a drawing in which geometric figures such as circles and rectangles are used to represent sets. One use of Venn diagrams is to illustrate the effects of set operations. The shaded region of the Venn diagram below corresponds to S T . PART 1 MODULE 2
In mathematics, Venn diagrams are used to analyze known information obtained from surveys, data reports, and tables. This handout will cover the five steps to analyzing known information using a Venn diagram. The following is an example of a problem that is solved with a Venn
a time period. There are seven behavioral diagrams: Use Case Diagrams, Activity Diagrams, State Machine Diagrams, Communication Diagrams, Sequence Diagrams, Timing Diagrams and Interaction Overview Diagrams. UML 2 has introduced Composite Structure, Object, Timing and Interaction Overview diagrams.
