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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)
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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) 7 20 8 = 2 20 5 0 20 Add the number of pieces of candy to find the number of total possible outcomes (the denominator.) 7 + 5 + 8 = 20
Sample Spaces Tree Diagrams and Sample Spaces Text Book page 321
Tree Diagrams and Sample Spaces • Sample Space The set of all possible outcomes in a probability experiment. • 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
Tree Diagrams How many possible options do you think there are? Let’s organize the choices. Cone Sample Space Ice Cream waffle vanilla, waffle vanilla sugar vanilla, sugar waffle chocolate, waffle chocolate chocolate, sugar sugar
Tree Diagrams – You Try 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. Color Sample Space Gender Male, Yellow Yellow Male Male, Brown Brown Male, Black Black Female, Yellow Yellow Female Female, Brown Brown Female, Black Black
Finding Probability with Tree Diagrams 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.
Finding 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. Sample Space Coin 3 Coin 2 Heads, Tails, Tails Tails Coin 1 Tails Heads, Tails, Heads Heads Heads Tails Heads, Heads, Tails Heads Heads Heads, Heads, Heads Probability Favorable outcomes Possible outcomes 1 8 Tails, Tails, Tails Tails Tails Tails, Tails, Heads Heads Tails Tails, Heads, Tails Tails Heads Heads Tails, Heads, Heads
Check 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.
Exit Slip How are tree diagrams and sample spaces related? **Answer the following in complete thought sentences.