C (ii) An auto mechanic engineer at Mechanical Lloyd is given 8 white cars and 3 black cars to service in a day, two of these cars are selected at random one after the other without replacement. What is the probability of selecting: one white and one black car? (3) the same colour of cars? Y) second black car? second white car? (b) Show that if A and B are two events, then P(A'B) = 1-P(AB) A textile industry manufactures strips of a particular type of cloth, These strips can be defective in two ways, lengths and nature of texture. For the case of the latter, the process of identification is very complicated. It is known from historical information on the process that 10% of strips fail the length test, 5% fail the texture test, and 14.2% fails at least one of these tests. If a strip is selected randomly from the process and a quick measurement identifies it as failing the length test, what is the probability that it is texture defective