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 pieces Raspberry7 Orange5 Cherry8 Add the number of pieces of candy to find the number of total possible outcomes (the denominator.) = =

Sample Space Sample Space The set of all possible outcomes in a probability experiment. The set of all possible outcomes in a probability experiment. Tree Diagram Tree Diagram A display that represents the sample space.

Tree Diagrams Tree diagrams show us: All of the possible scenarios Number of possible outcomes The denominator in the probability formula

vanilla chocolate waffle sugar waffle sugar vanilla, waffle vanilla, sugar chocolate, waffle chocolate, sugar ConeSample Space Ice Cream How many possible options do you think there are? Let’s organize the choices.

Check your Progress The animal shelter has both male and female Labradors in yellow, brown and black. Find the sample space for all possible Labradors at the shelter. Gender ColorSample Space Male Female Yellow Brown Black Yellow Brown Black Male, Yellow Male, Brown Male, Black Female, Yellow Female, Brown Female, Black

Check your Progress 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 1 Heads 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

Work with your table partner to complete the following problems. This and your exit slip will be handed in for a classwork grade.

How are tree diagrams and sample spaces related? **Answer the following in complete thought sentences.