Taste The Rainbow!!!! COMPOUND EVENTS:

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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?
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