1. (15pt) An experiment consists of rolling a six sided die and drawing a marble from bag containing 3 blue. 5 red. 5 green, and 2 white. Let A be rolling an even number, B be drawing a green marble. C be rolling a number less than 4 and drawing a color with an "I" in the name, and D be drawing a red or white marble. Write out each in words and nd each probability in fraction and decimal form: a. How big is the sample space and what are two ways to visualize it? b. What outcomes are in A and C ? c. P(A) d. P(C) e. P(A and C) f. P(A or C) Q- P(AIC) h. P(B') i i. P(B|D) i' j. P(A and D) k. P(A or D) I l l I. Are A and B mutually exclusive? Justify. I m. Are C and D mutually exclusive? Justify. n. Are A and C independent from each other? Justify