candy contains seven raspberryflavored pieces five orangeflavored pieces and eight cherryflavored pieces If Ashley pulls out a piece of candy without looking what is the probability of her drawing the following ID: 791995
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Slide1
Bell Work
Ashley’s large pack of candy contains seven raspberry-flavored pieces, five orange-flavored pieces and eight cherry-flavored pieces. If Ashley pulls out a piece of candy without looking, what is the probability of her drawing the following.a.) P(Raspberry)b.) P(Cherry)c.) P(Grape)
Flavor# of piecesRaspberry7Orange5Cherry8
Add the number of pieces of candy to find the number of total possible outcomes (the denominator.) 7 + 5 + 8 = 20
720
8 = 220 5
0
20
Slide2Sample Spaces
Tree Diagrams and Sample SpacesText Book page 321
Slide3Tree Diagrams and
Sample SpacesSample Space The set of all possible outcomes in a probability experiment. Tree DiagramA display that represents the sample space.
Slide4Tree Diagrams
Tree diagrams show us: All of the possible scenarios Number of possible outcomes The denominator in the probability formula
Slide5Tree Diagrams
vanillachocolate
wafflesugarwafflesugarvanilla, waffle
vanilla, sugar
chocolate, waffle
chocolate, sugar
Cone
Sample Space
Ice Cream
How many possible options do you think there are? Let’s organize the choices.
Slide6Tree Diagrams – You Try
Check your ProgressThe animal shelter has both male and female Labradors in yellow, brown and black. Find the sample space for all possible Labradors at the shelter. GenderColorSample Space
MaleFemaleYellowBrownBlack
Yellow
BrownBlack
Male, Yellow
Male, Brown
Male, Black
Female, Yellow
Female, Brown
Female, Black
Slide7Finding Probability with Tree Diagrams
Slide8Finding Probability with Tree Diagrams
Check your ProgressDale tosses three coins. If all three coins turn up heads, Dale wins. Otherwise, Kara wins. Find the sample space. Then find the probability that Dale wins.
Slide9Finding Probability with Tree Diagrams
Dale tosses three coins. If all three coins turn up heads, Dale wins. Otherwise, Kara wins. Find the sample space. Then find the probability that Dale wins. Coin 1HeadsTails
Tails
Sample Space
Heads
Tails
Heads
Coin 2
Coin 3
Tails
Heads
Tails
Heads
Tails
Heads
Tails
Heads
Heads, Tails, Tails
Heads, Tails, Heads
Heads, Heads, Tails
Heads, Heads, Heads
Tails, Tails, Tails
Tails, Tails, Heads
Tails, Heads, Tails
Tails, Heads, Heads
Probability
Favorable outcomes
Possible outcomes
1
8
Slide10Check your Understanding
(Think-Pair-Share)Work with your table partner to complete the following problems. This and your exit slip will be handed in for a classwork grade.
Slide11Exit Slip
How are tree diagrams and sample spaces related?**Answer the following in complete thought sentences.