Statistics & Probability

Statistics & Probability Period____ Name____________________ Date_____________________ Probability Events (Day 1) ● Learning Intentions: to explain independence of events in everyday language and everyday situations. ● Essential Question：How does describing events as mutually exclusive or independent affect how you find probability? Do now : Allie spins the spinner and draws one card without looking. She gets a 3 on the spinner and the 3 card. Then she sets the card aside, spins again, and draws another card. A. Is it possible for Allie to get a 3 on her second spin? On her second card? Explain. B. Construct ArgumentsHow does getting the 3 card on her first draw affect the probability of getting the 2 card on her second draw? Explain. Key Vocabulary: Mutually exclusive: Complement: Independent events: Guided Practice: Try It # 1: A box contains 100 balls. Thirty of the balls are purple and 10 are orange. If you select one of the balls at random, what is the probability of each of the following events? a.The ball is purple or orange. b.The ball is not purple and not orange. Try It # 2: A video game is played on a 34 cm by 20 cm rectangular computer screen. A starship is represented by two overlapping circles of radius 6 cm whose area of overlap is 20 cm^2. A black hole is equally likely to appear at any point on the screen. To the nearest whole percent, what is the probability that the point will appear within the starship? Exit Ticket: A bag contains 40 marbles. Eight are green and 2 are blue. You select one marble at random. What is the probability of each event? a. The marble is green or blue. b.The marble is not green and not blue.