Question

A company produces plastic elephants in two colours for the novelty trade market. Production in the factory is on one of three machines; 10% is on machine A, 30% on machine B, and the remainder on machine C. Machine A’s production consists of 40% blue elephants and 60% pink elephants. Machine B’s production consists of 30% blue elephants and 70% pink elephants. Machine C’s production has 80% pink elephants with the remainder being blue.
2.1.1 What proportion do blue elephants form of total production? (5)
2.1.2 If a particular elephant is pink, what is the probability it was made by machine B?