(A) A gum ball dispenser contains a large number of gum balls inthree different colors, red, green, and yellow. Assuming that thegum balls are dispensed one at a time, describe an appropriatesample space for this scenario and list all possible events.Adetermined child continues to buy gum balls until he gets a yellowone. Describe an appropriate sample space in this case. (B) Abrother and a sister arrive at the gum ball dispenser of theprevious question, and each of them buys a single gum ball. The boyalways allows his sister to go first. Let A be the event that thegirl gets a yellow gum ball and let B be the event that at leastone of them gets a yellow gum ball. (a) Describe an appropriatesample space in this case. (b) What outcomes constitute event A?(c) What outcomes constitute event B? (d) What outcomes constituteevent A ? B? (e) What outcomes constitute event A ? Bc? (f) Whatoutcomes constitute event B ? A?
