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Lesson 17 – Do Now 1) Find the solution: 2) Find the GCF of 36 and 42 3) Solve for the indicated variable Do now Expectations: No talking for any reason, please. Lesson 17 SWBAT determine the probability of the complement of an event occurring. Key Skills: • • • Sample Space Simplifying Fractions Subtraction/Addition There are 8 questions on the benchmark that use this skill. Today’s Big Question(s): Lesson 17 How is finding the complement of a probability problem important when solving for probability? Vocabulary: DI - Lesson 17 Complement The complement of an event is all the outcomes in the sample space that are not included in the event. P(event) + P(complement of event) = 1 Two events are complementary events if the sum of their probabilities equals 1 and if one event occurs if and only if the other does not. DI - Lesson 17 1) The weather forecast predicts a 20% chance of snow. What is the probability that it will not snow? DI - Lesson 17 2) If the probability of an event is 3/8, what is the probability of its complement? DI - Lesson 17 3) A fair die is thrown. What is the probability that the score is not a factor of 6? DI - Lesson 17 4) A pair of dice are rolled. What is the probability of not rolling doubles? 5). A gumball machine contains gumballs of five different colors: 36 red, 44 white, 15 blue, 20 green, and 5 orange. The machine dispenser randomly selects one gumball. What is the probability that the gumball selected is: a.) green? b.) not green? c.) not orange? d.) orange? e.) not a color in the flag of the USA? f.) red, white, or blue? GP – Lesson 17 You have ___________ minutes to silently/independently complete the guided practice problems on your handout. I will walk around and give you feedback on your work. GP - Lesson 17 EXAMPLE: A pair of dice are rolled. What is the probability of rolling 10 or less? GP - Lesson 17 EXAMPLE: We are going to shuffle a deck of playing cards. Let’s suppose we are going to draw one card from this deck. Can you find the probability that the card is not a king? GP - Lesson 17 EXAMPLE: Find the probability that the card is not a club. GP - Lesson 17 EXAMPLE: A pair of dice will be rolled. Find the probability that at least one of the two rolls is an odd number. EXAMPLE: According to the American Veterinary Medical Association, 31.6% of American households own a dog. What is the probability that a randomly selected household does not own a dog? EXTRA Credit/Merit OPPORTUNITY!!!! THIS THURSDAY, FEB. 20 After school, Room 413 Parent Consent Form Closing Mastery Check Answer the following questions in your notes. What are the three ways that one can represent the probability of an event occurring?