please solve questions (a to f).

2.$6 A lot contains 15 castings from a local supplier and 25 castings from a supplier in the next state. Two castings are selected randomly, without replacement, from the lot of 40. Let A be the event that the first casting selected is from the local supplier, and let B denote the event that the second casting is selected from the local supplier. Determine: a. P(A) b. P(B | A) c. P(An B) d. P(A V B) Suppose that 3 castings are selected at random, without replacement, from the lot of 40. In addition to the definitions of events A and B, let C denote the event that the third casting selected is from the local supplier. Determine: e. P(An BnC) f. P(An Bn Ch)