Tree diagrams and tables A multistage event consists of 2 or more events occurring together. Tables can display the outcomes for 2 stage events. Tree diagrams can display the outcomes for multistage events. Example 1 A four sided die is rolled and a coin is flipped. How many outcomes are there? What is the sample space? How many outcomes contain a prime? What is the probability of rolling a prime? 4 × 2 = 8 See below c) 4 d) P(prime) = 4/8 = ½ 1 2 3 4 H H1 H2 H3 H4 T T1 T2 T3 T4

Example 2 A woman has 3 children. What is the probability she has: exactly 2 boys? at least 2 boys? More than 2 boys? P(2B, 1G) = 3/8 P(≥2B) = 4/8 = ½ P(>2B) = 1/8 Child 3 Child 2 Child 1 B G BBB    B G BBG    B G B G BGB    BGG    B G GBB    B G GBG    B G GGB    GGG   

Today’s work Exercise 7A pg 211 Q1, 2, 3, 5, 8, 9, 10