# TREE DIAGRAMS Sample Template

TREE DIAGRAMS:

Example: If it rains on a given day, the probability that it rains the next day is 1/3. If it does not rain on a given

day, the probability that it rains the next day is 1/6. The probability that it will rain tomorrow is 1/5. What is the

probability that it will rain the day after tomorrow? Draw a tree diagram of all the possibilities to determine the

answer.

Answer:

Draw the first level of the tree diagram

Before we can determine what happens on the day after tomorrow, we first have to determine what

might happen tomorrow. We are told that there is a 1/5 probability that it will rain tomorrow. Here is

how to represent this information using a tree diagram:

Draw the second level of the tree diagram

We are also told that if it does rain on one day, there is a 1/3 probability that it will also rain on the

following day. On the other hand, if it does not rain on one day, there is only a 1/6 probability that it will

also rain on the following day. Using this information we complete the tree diagram:

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## TREE DIAGRAMS Sample Template PDF

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