Mathematics 0580 · IGCSE · Probability of combined events
Probability of combined events — practice question
A plant has probability $\frac{7}{8}$ of producing flowers. The flowers can be red or yellow. Provided that the plant does produce flowers, the probability that the flowers are red is $\frac{3}{4}$.
(a(i))[2]
Complete the tree diagram by placing a probability beside each branch.
(a(ii))[2]
Calculate the chance that a randomly chosen plant will produce red flowers.
(a(iii))[2]
Calculate the probability that both of them will produce red flowers.
(b)[2]
Calculate how many plants are expected to produce flowers.
(c)[2]
Estimate Gabriel’s total number of plants.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “$\frac34,\frac14,\frac78,\frac18$” …