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# Tree Diagrams

 Probability Trees Calculating probabilities from tree diagrams by multiplying along branches and adding between branches. Tree diagrams with and without replacement. Intersection and Union problems Theta (new & old & workbook) Ex 22.02 NuLake EAS p135, 136

# With replacement

 Select a card from a pack of 52 cards. Was it a heart? REPLACE the card and select a second card Selection with replacement Probabilities P(2 hearts)= P(1 heart)= Mouse-over above

# Without replacement

 Select a card from a pack of 52 cards. Was it a heart? KEEP the card and select a second card Selection without replacement Probabilities P(2 hearts)= P(1 heart)= Mouse-over above

# Example

##### What is the probability a package is lost?

Form a probability tree

Fill in known probabilities

Fill in other probabilities

Calculate
P(lost package)

Mouse-over above