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Lesson 18b – Do Now Do now Expectations: No talking for any reason, please. 1) A tube of sweets contains 10 red sweets, 7 blue sweets, 8 green sweets and 5 orange sweets. If a sweet is taken at random from the tube, what is the probability that it is: (a)Red (b) Green or Red 2) Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5? 3) Solve and graph

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SWBAT SWBAT find the probability of two independent events occurring. Key Skills: Sample Space Event Trial There are 5 questions on the benchmark that use this skill. Lesson 18b

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Today’s Big Question(s): What is the probability of each event? Lesson 18b

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Vocabulary: Independent Events Two events are independent if the occurrence of one has no effect on the occurrence of the other. Example: If a coin is tossed twice, the outcome of the first toss (heads or tails) has no effect on the outcome of the second toss. DI – Lesson 18b

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Example 1: An experiment consists of randomly selecting a marble from a bag, replacing it, and then selecting another marble. The bag contains 7 blue marbles and 3 yellow marbles. What is the probability of selecting a yellow marble and then a blue marble? DI - Lesson 18b

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Example 2: You are playing a game that involves spinning the money wheel shown. During your turn you get to spin the wheel twice. What is the probability that you get more than $500 on your first spin and then go bankrupt on your second spin? DI - Lesson 18b

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Example 3: For a fundraiser, a class sells 150 raffle tickets for a mall gift certificate and 200 raffle tickets for a booklet of movie passes. You buy 5 raffle tickets for each prize. What is the probability you will win both prizes? DI - Lesson 18

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DI – Lesson 18b Example 4: When a person rolls 2 number cubes and they land showing the same number, we say the person rolled doubles. What is the probability of rolling doubles 3 times in the roll?

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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 18b

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1) A drawer contains 3 red paperclips, 4 green paperclips, and 5 blue paperclips. One paperclip is taken from the drawer and then replaced. Another paperclip is taken from the drawer. What is the probability that the first paperclip is red and the second paperclip is blue ? GP – Lesson 18b

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2) A coin is tossed and a single 6-sided die is rolled. Find the probability of landing on the head side of the coin and rolling a 3 on the die. GP – Lesson 18b

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3) A card is chosen at random from a deck of 52 cards. It is then replaced and a second card is chosen. What is the probability of choosing a jack and then an eight? GP – Lesson 18b

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4) A dresser drawer contains one pair of socks with each of the following colors: blue, brown, red, white and black. Each pair is folded together in a matching set. You reach into the sock drawer and choose a pair of socks without looking. You replace this pair and then choose another pair of socks. What is the probability that you will choose the red pair of socks both times? GP – Lesson 18b

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5) What is the probability of flipping a coin 2 times and getting tails both times? GP – Lesson 18b

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Closing Mastery Check Answer the following questions in your notes. What does it mean for events to be independent? Are the events of drawing a king and drawing a heart independent?

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