Construct a Venn diagram representing each event. a.​ (​F & (not M)) b.​ ((F or M) ​& (not ​( F and M​)))

1. a.) What is the probability that A or B occurs? b.) What is the probability that A and B occurs? c.) What is the probability that A or B does not occur?

Let  S = {1, 2, 3, 4, 5, 6},   E = {1, 5, 6},   F = {2, 3, 4},  and  G = {1, 3}. Find the event  E ∪ F ∪ G. E ∪ F ∪ G =

In a soon to be released Halloween martial arts movie, a pumpkin has a starring role. Because of the rather violent nature of the film, the producers have also hired a stunt pumpkin.  Suppose the featured pumpkin appears in 40% of all the film scenes, the stunt pumpkin appears in 30% of the film scenes and the two appear simultaneously in 5% of the scenes. Draw the Venn diagram to reflect information given in the problem. Are the events the stunt pumpkin appearing in a scene and the featured pumpkin appearing in a scene mutually exclusive (disjoint)? Explain how you know. Are the events the stunt pumpkin appearing in a scene and the featured pumpkin appearing in a scene independent? Explain how you know. What is the probability that in a given scene that only the stunt pumpkin appears?   You have three events A, B, & C. Suppose: Event A is the event of drawing a king from a deck of 52 cards on the first draw. Event B is the probability of drawing a queen of hearts on the…