Mathematics 0580 · IGCSE · Probability of combined events
Probability of combined events — practice question
On any morning, the chance of rain is $\frac{2}{3}$. If it rains, the chance that Asha walks to school is $\frac{1}{7}$. If it does not rain, the chance that Asha walks to school is $\frac{4}{7}$.
(a)[2]
Complete the tree diagram by filling in the missing probabilities.
(b)[2]
Find the probability of rain together with Asha walking to school.
(c(i))[3]
Find the probability that Asha does not walk to school.
(c(ii))[2]
Find the expected number of days Asha does not walk to school in a term of 70 days.
(d)[2]
Find the probability that it rains on exactly one morning in a school week of 5 days.
Worked solution & mark scheme
This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: “$\frac13,\ \frac67$” …