Solve each of the following problems with COMPLETE REPRESENTATION and solutions. Provide clean and clear solutions thank you and Godbless.

II. The probability that SMC will locate Eulacan is .3 and the probability that it will locate Cagayan is [1.45. Assume independent events. Find the probability that (a) it will locate only in Cagayan but not in Bulacan; (b) neither provinces will be chosen; (c) it will locate in at least one of the provinces. 12. Given three boxes A. B, and C with red. white. and [1 marbles as indicated in the table below: __ IE." - _'--- A die with two faces marked A. one face marked B. and three faces marked C is used to choose the corresponding box then a marble is randomlyF selected from that box. Find the probability that a randomly selected marble: (a) is red. (13} was in boat A. given that it is red