for c which formula should be used and why? (explanation to help me comprehend)

To be submitted before the end of class, Thursday February 13, 2020. 1. A small shop sells hats and gloves, and each item is either made with cotton or made with wool. It is known that 60% of the items in the store are hats, and the rest of the items are gloves. It is also known that of the hats, 75% are made with cotton, and the rest are made from wool. Of the gloves, 55% are made with cotton, and the rest are made with wool. [3] (a) Draw a tree diagram to represent this experiment. cotton 0.75 HAT 0.60 0. 25 wool 0.40 6.55 cotton GLOVE 6. 45 wool [2] (b) What is the probability that a randomly selected customer will purchase an item made from wool? P ( W) = 0.60 x 0.25 + 0.40 x 0.45 = 0.33 [3] (c) Given that a customer has purchased at item made from cotton, what is the A probability that they purchased a hat? P ( C ) = P ( H ) = P (CAH ) =