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# How can you work out the probability of two events happening using a tree diagram?

2 years ago

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4 Replies

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1754 views

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Dhanush Vydyam

We multiply the probabilities of those events

happening.

If for example we are given the following probabilities:

In Basket 1, P(Apple) = 0.25 and P(Pear) = 0.75

In Basket 2, P(Apple) = 0.65 and P(Pear) = 0.35

The probability of picking an apple from Basket 1 and a pear from basket 2 would be = 0.25*0.35

A

You multiply probabilities when you move across a tree diagram branch and add probabilities when moving up and down the branches. Conditional probabilities work slightly different. You will need to engage Bayes's theorem

E
Emily Uden

Multiply across the branches of the sequence you require

Adriana F Verified Sherpa Tutor ✓

Mathematics BSc student at Bristol University, experienced in tutoring

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A probability tree indicates probabilities and some conditional probabilities for combinations of events.

Example: Flipping a biased coin twice.

Event 1- first coin flip; Event 2- second coin flip

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