Tree Diagrams Objective: To calculate probability using a tree Lesley Hall Five balls are put into a bag. Three are red. Two are blue.

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Presentation transcript:

Tree Diagrams Objective: To calculate probability using a tree Lesley Hall Five balls are put into a bag. Three are red. Two are blue. A ball is chosen at random and replaced. A second ball is then chosen. Draw a tree diagram to show all the possible outcomes and their probabilities.

Tree Diagrams Objective: To calculate probability using a tree Lesley Hall 1 st choice You could either pick out a red ball… … or a blue ball. R B P(red ball) = P(blue ball) =

Tree Diagrams Objective: To calculate probability using a tree Lesley Hall 1 st choice R B nd choice If you chose a red the 1 st time, you can still choose a red or a blue the 2 nd time. R B If you chose a blue the 1 st time, you can still choose a red or a blue the 2 nd time. R B

Tree Diagrams Objective: To calculate probability using a tree Lesley Hall 1 st choice R B nd choice R B R B Because we replace the first ball the probabilities will stay the same! Notice that on each pair of branches the probabilities add up to = 1

Tree Diagrams Objective: To calculate probability using a tree Lesley Hall 1 st choice R B nd choice R B R B List the outcomes … R R R B B R B B

Tree Diagrams Objective: To calculate probability using a tree Lesley Hall 1 st choice R B nd choice R B R B RR RBRB BRBR BB …and work out the probabilities x = x = x = x = 4 Finally check that your probabilities add up to 1.

Tree Diagrams Objective: To calculate probability using a tree Lesley Hall 1 st choice R B nd choice R B R B RR RBRB BRBR BB x = x = x = x = 4 You can now use your tree diagram to answer questions.