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A bag contains 6 blue marbles and 4 purple marbles. Sam picks a random marble out of the bag. They don't replace the marble after taking it out.


They then take a second random marble from the bag.


Draw a tree diagram to show the probability of each possible outcome.


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Tree diagram showing the probabilities of picking two marbles of the same or different colours from a bag without replacement.

Work out the probability that both the marbles Sam picks are the same colour.

\frac{7}{15}|\frac{42}{90}|\frac{14}{30}\frac{21}{45}

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