Mathematics 4024 · O Level · Probability of combined events

Probability of combined events — practice question

A bag contains $n$ balls. 3 of the balls are white. Two balls are selected at random from the bag without replacement.
(a)[2]

Complete the tree diagram by filling in the missing values.

(b)[2]

The probability of drawing two white balls is $\frac{1}{15}$. Show that $n^2 - n - 90 = 0$.

(c)[2]

Find the value of $n$ exactly.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: A correctly completed tree diagram

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