©G Dear 2009 – Not to be sold/Free to use Language of Chance General Mathematics Preliminary Tree Diagrams Stage 6 - Year 11 Press Ctrl-A ©G Dear 2009 – Not to be sold/Free to use

Tree Diagrams (1/3) If there is more than one stage in a probability experiment we should use a tree diagram. For Example: Tossing a coin twice. Stage 1 Stage 2 Heads Heads Tails S = {HH, HT, Heads TH, TT} Tails Tails

Tree Diagrams (2/3) For Example: Tossing a coin three times. Stage 1 Heads HHH Heads Tails HHT Heads Heads HTH Tails Tails HTT n(s) = 8 Heads THH Heads Tails THT Tails Heads TTH Tails Tails TTT S={ HHH, HHT, HTH, HTT, THH, THT, TTH, TTT }

Tree Diagrams (3/3) For Example: Tossing a coin and a dice. Stage 1 H1 2 H2 Heads 3 H3 4 H4 5 H5 6 H6 n(S) = 12 1 T1 2 T2 Tails 3 T3 4 T4 5 T5 6 T6 S={ T6} H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5,