Taste The Rainbow!!!! DO NOT EAT YOUR SKITTLES UNTIL TOLD TO DO SO Count how many of each color skittle you have and record your answer here: COMPOUND EVENTS: Finding the probability of two or more events happening. When you are finding the probability of two or more events happening together you MULTIPLY the probabilities together There are two types of compound events that we’re going to explore. Find the definition of these events in your textbook: Independent Events: _________________________________________________________________ Dependent Events: ______________________________________________________ _______________________________________________________________________ 1. Say you are watching a movie while you are eating your skittles. You reach into the bag with out looking. What is the probability that you pull out a red skittle? What is the probability that you pick a yellow skittle? 2. What is the probability that you pick a yellow or an orange skittle? 3. Let’s say you pick out one skittle and you don’t like the color so you put it back and pick out another one. a. Is this a compound event (two or more events)? Explain. b. Are these events independent events or dependent events (look back at your definitions to help if you need to)? c. Find the probability that you will pick out a green skittle and then an orange skittle (if you can’t think of how to do this, look at the first bullet point under “Compound Events” on the first page to remind you). d. What is the probability that you will pick out a purple skittle and then a red skittle? e. What is the probability that you’ll pick out a green or a yellow on the first time and then a red skittle the second time? 4. You’re still watching a move so you aren’t looking in the bag while you’re eating. Let’s say you pick out one skittle and eat it and then pick out another one. a. Is this a compound event (two or more events)? Explain. b. Are these events independent events or dependent events (look back at your definitions if you need to)? c. Find the probability that you will pick out a green skittle and then orange skittle. (This will be a different answer than #3c!! Think about what you did after you picked the first skittle) d. What is the probability that you’ll pick a red skittle and then a yellow skittle? e. What is the probability that you’ll pick out a green skittle and then another green skittle? YOU CAN NOW EAT YOUR SKITTLES!!! YAY! Flip to page 102 in your book Write down the rule for finding the PROBABILITY OF INDEPENDENT EVENTS: Write down the rule for finding the PROBABILITY OF DEPENDENT EVENTS: Practice Problems: 1. Suppose you roll a red number cube and a blue number cube (a number cube has six sides numbered 1-6). a. Are these independent or dependent events? b. What is the probability that you will roll a 3 on the red cube and an even number on the blue cube? 2. Suppose a teacher must select 2 high school students to represent their school at a conference. The teacher randomly picks names from a hat that contains the names of 3 freshmen, 2 sophomores, 4 juniors, and 4 seniors. a. Are these independent or dependent events? b. What is the probability that she’ll choose a sophomore and then a freshman? 3. Suppose you have 3 quarters and 5 dimes in your pocket. a. You take out one coin, and then put it back. Then you take out another coin. What is the probability that you take out a dime and then a quarter? b. You take out one coin from your pocket. Without replacing it, you select a second coin. What is the probability of first taking out a dime and then a quarter?