Mathematics 0580 · IGCSE · Probability of combined events

Probability of combined events — practice question

Stephan has two bags, $A$ and $B$, and each bag contains only red sweets and yellow sweets. He chooses two sweets at random, taking one from bag $A$ and the other from bag $B$. The chance that Stephan chooses a red sweet from bag $A$ is $\frac{3}{5}$. The chance that Stephan chooses a red sweet from bag $A$ and a red sweet from bag $B$ is $\frac{2}{15}$.
(a)[2]

Find the probability that Stephan picks out a red sweet from bag $B$.

(b)[3]

Find the probability that the sweet chosen from bag $A$ is yellow and the sweet chosen from bag $B$ is yellow.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Hence the probability is $\frac{2}{9}$.

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