Mathematics 0580 · IGCSE · Probability of combined events

Probability of combined events — practice question

Andrei's chance of cycling to school is $r$.
(a)[1]

Write down, in terms of $r$, the probability that Andrei does not cycle to school.

(b(i))[1]

Complete the equation in terms of $r$: $(\,\,\,\,) \times (\,\,\,\,) = 0.4$.

(b(ii))[3]

Show that this equation reduces to $10r^2 - 23r + 9 = 0$.

(b(iii))[3]

Solve $10r^2 - 23r + 9 = 0$ by factorisation.

(b(iv))[1]

Find the chance that Benoit does not cycle to school.

Worked solution & mark scheme

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