Good morning! August 14, 2017

Bellringer: 𝟓 𝟖 ÷ 𝟑 𝟒 = 𝟔 𝟕 ÷ 𝟏𝟏 𝟏𝟒 =

Standard: MGSE9-12.S.CP.3 Understand the conditional probability of A given B as P(A and B)/P(B). Interpret independence of A and B in terms of conditional probability; that is the conditional probability of A given B is the same as the probability of A and the conditional probability of B given A is the same as the probability of B. MGSE9-12.S.CP.4 Construct and interpret two-way frequency tables of data when two categories are associated with each object being classified. Use the two-way table as a sample space to decide if events are independent and to approximate conditional probabilities. For example, use collected data from a random sample of students in you school on their favorite subject among math, science, and English. Estimate the probability that a randomly selected student from your school will favor science given that the student is in tenth grade. Do the same for other subjects and compare the results. Learning Target: I CAN construct and interpret two way tables. I CAN calculate conditional probabilities and interpret the answers in context of the problem.

Probability Addition Rule

Lesson 3: Addition Rule Mutually Exclusive Events and Overlapping Events Cards Facts to Know 1) A standard deck of cards has four suites: hearts, clubs, spades, diamonds. 2) Each suite has thirteen cards: ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen and king. Thus the entire deck has 52 cards total. There are exactly 26 red cards and 26 black cards. 5) Face Cards are only Jack, Queen, and King.

That is, P(A or B) = P(A) + P(B) - P(A and B). Lesson 3: Addition Rule Mutually Exclusive Events and Overlapping Events Key Vocabulary Two events are mutually exclusive if the events cannot occur at the same time. When two events A and Bare mutually exclusive, the probability that event A or event B will occur is the sum of the probabilities of each event: P(A or B) = P(A) + P(B) 3. When two events A and B are not mutually exclusive (Overlapping Events or intersection) the probability that event A or B will occur is the sum of the probability of each event minus the intersection of the two events. That is, P(A or B) = P(A) + P(B) - P(A and B).

Lesson 3: Addition Rule Mutually Exclusive Events and Overlapping Events Ex. 1 Determine which events are mutually exclusive and which are not, when a single card is drawn from a deck. Getting a 7 and getting a jack Getting a club and getting a king Getting a face card and getting an ace Getting a face card and getting a spade

Addition Rule - Mutually Exclusive & Overlapping Events Lesson 3: Addition Rule Mutually Exclusive Events and Overlapping Events Addition Rule - Mutually Exclusive & Overlapping Events Ex. 2 Department Stores a) Find the probability that a girl's favorite department store is Macy's or Nordstrom. b) Find the probability that a girl's favorite store is not JC Penny's.

Lesson 3: Addition Rule Mutually Exclusive Events and Overlapping Events Ex. 3 Sum of dice When rolling two dice, what is the probability that your sum will be 4 or 5? Ex. 4 What is the probability of picking a queen or an ace from a deck of cards?

Intersections or Overlapping Events Lesson 3: Addition Rule- Mutually Exclusive Events and Intersections or Overlapping Events Ex. 5 Let A= Water and B = Coffee. Find the probability a person will drink both. Ex. 6 Find the P(A u B).

Lesson 3: Addition Rule Mutually Exclusive Events and Overlapping Events Ex. 7 A box contains 3 glazed doughnuts, 4 jelly doughnuts, and 5 chocolate doughnuts. If a person selects a doughnut at random, find the probability that it is either a glazed doughnut or a chocolate doughnut.

Lesson 3: Addition Rule Mutually Exclusive Events and Overlapping Events Ex. 8 At a political rally, there are 20 Republicans, 13 Democrats, and 6 Independents. If a person is selected at random, find the probability that he or she is either a Democrat or an lndependent.

Lesson 3: Addition Rule Mutually Exclusive Events and Overlapping Events Ex. 9 A single card is drawn from a deck. Find the probability that it is a king or a club.

Lesson 3: Addition Rule Mutually Exclusive Events and Overlapping Events Ex. 10 On New Year's Eve, the probability of a person driving while intoxicated is 0.32, the probability of a person having a driving accident is 0.09, and the probability of a person having a driving accident while intoxicated is 0.06. What is the probability of a person driving while intoxicated or having a driving accident?

Concept Check ___Probability___ ___Venn Diagram___ ___Complement___ ___Independent___ ___Addition Rule___