In: Math
(A) A gum ball dispenser contains a large number of gum balls in three different colors, red, green, and yellow. Assuming that the gum balls are dispensed one at a time, describe an appropriate sample space for this scenario and list all possible events. Adetermined child continues to buy gum balls until he gets a yellow one. Describe an appropriate sample space in this case. (B) A brother and a sister arrive at the gum ball dispenser of the previous question, and each of them buys a single gum ball. The boy always allows his sister to go first. Let A be the event that the girl gets a yellow gum ball and let B be the event that at least one of them gets a yellow gum ball. (a) Describe an appropriate sample space in this case. (b) What outcomes constitute event A? (c) What outcomes constitute event B? (d) What outcomes constitute event A ∩ B? (e) What outcomes constitute event A ∩ Bc? (f) What outcomes constitute event B − A?