(a(i))[1]
January contains $31$ days. Find how many January days you would expect to have a temperature above $14^\circ\text{C}$.
(a(ii)(a))[2]
Complete the tree diagram fully.
(a(ii)(b))[1]
Find the probability that the temperature is above $14^\circ\text{C}$ on both days.
(a(ii)(c))[2]
Find the probability that the temperature is above $14^\circ\text{C}$ on just one of the two days.
(b)[3]
In a group of $14$ children, $8$ are wearing red T-shirts, $1$ is wearing a green T-shirt, and $5$ are wearing blue T-shirts. Two children are picked at random from the group. Find the probability that they are wearing different coloured T-shirts.