Mathematics 0580 · IGCSE · Probability of combined events

Probability of combined events — practice question

Inside a bag are 5 red balls and 3 blue balls. Sophie chooses a ball at random, records its colour, and then returns it to the bag. She repeats this for a second draw.
(a)[2]

Complete the tree diagram by filling in the missing probabilities.

(b)[2]

Work out the probability that both balls Sophie chooses are blue.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Probabilities $\frac{3}{8}$ and $\frac{5}{8}$ correctly placed on the branches

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