(a) The probability that a student buys a colouring book is $0\cdot7$ and that she buys a box of colours is $0\cdot2$. The probability that she buys a colouring book, given that she buys a box of colours, is $0\cdot3$. Find the probability that the student : (i) Buys both the colouring book and the box of colours. (ii) Buys a box of colours given that she buys the colouring book. OR (b) A person has a fruit box that contains $6$ apples and $4$ oranges. He picks out a fruit three times, one after the other, after replacing the previous one in the box. Find : (i) The probability distribution of the number of oranges he draws. (ii) The expectation of the random variable (number of oranges).