Lesson 17 – Do Now Do now Expectations: No talking for any reason, please. 1)Find the solution: 2) Find the GCF of 36 and 42 3) Solve for the indicated variable

SWBAT 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. Lesson 17

Today’s Big Question(s): How is finding the complement of a probability problem important when solving for probability? Lesson 17

Vocabulary: 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?

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?

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. GP - Lesson 17

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?