Mathematics 4024 · O Level · Probability of combined events

Probability of combined events — practice question

A bag has $10$ counters in total: $8$ are blue and $2$ are white. Two counters are chosen at random from the bag without replacement.
(a)[1]

Fill in the tree diagram so that it displays the outcomes that can occur and the matching probabilities.

(b(i))[1]

Determine, as a fraction, the probability that both counters are blue.

(b(ii))[2]

Determine, as a fraction, the probability that one counter is blue and the other is white.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: $\frac{2}{10}, \frac{2}{9}, \frac{8}{9}, \frac{1}{9}$ entered correctly

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