Tree Diagrams Tree Diagrams model multiple dependent or successive T V A X events (events that depend on each other or that happen right after each other) . Each branch represents a different event . Probabilities are multiplied along branches Use the following information to label a tree diagram with probabilities. Dream School Example: Admitted to school 0.83 1. You have a 0.65 probability of getting higher than Not admitted to school Higher than average ACT/GPA average GPA and ACT scores. 0.65 0.17 2. If you have a higher than average GPA/ACT, you have Below average ACT/GPA Admitted to school a 0.83 chance of being admitted. 0.35 0.39 Not admitted to school 3. If you have a below average GPA/ACT score, you 0.61 have a 0.39 chance of being admitted. You can now record yourself and your screen at the same timeCalculating Probability from Tree Diagrams T X Let H = Event of getting higher than average ACT or GPA Let A = Event of being admitted to your dream school a) Complete the table. b) Trace your path in the tree diagram. Description Probability Admitted to school 0.83 P(HnA) Not admitted to school Higher than average ACT/GPA 0.65 0.17 Below average ACT/GPA Admitted to school 0.39 0.35 Not admitted to school 0.61Calculating Probability from Tree Diagrams T X Let H = Event of getting higher than average ACT or GPA Let A = Event of being admitted to your dream school a) Complete the table. b) Trace your path in the tree diagram. Description Probabilit Admitted to school 0.83 P(A) Not admitted to school Higher than average ACT/GPA 0.65 0.17 Below average ACT/GPA Admitted to school 0.39 0.35 Not admitted to school 0.61Calculating Probability from Tree Diagrams T X Let H = Event of getting higher than average ACT or GPA Let A = Event of being admitted to your dream school a) Complete the table. b) Trace your path in the tree diagram. Description Probabilit Admitted to school 0.83 P(H | A) Not admitted to school Higher than average ACT/GPA 0.65 0.17 Below average ACT/GPA Admitted to school 0.39 0.35 Not admitted to school 0.61