A bag contains 5 white and 3 black balls.

(a(i)) One marble is selected at random. Find P(white). [1]

(a(ii)) It is replaced. This is repeated 120 times. Find the expected number of white balls selected. [1]

Two balls are now selected at random with replacement.

(b(i)) Find P(same colour). [3]

(b(ii)) Find P(different colours). [1]

(c) Three balls are selected without replacement. Find P(exactly two white and one black). [3]