a pair of dice are rolled and if the sum is a 5, Derek gets apoint; if the sum is a 6, Ker gets a point; if the sum is a 7, Garygets a point. if the sum is some other value, no one gets apoint.
(a)if the dice are rolled until Gary gets 4 points, find theprobability Derek gets exactly 2 points.
(b)if the dice are rolled until Gary gets 4 points, find theprobability that exactly 12 rolls are required.
(c)If the dice are rolled until any one of the players gets a singlepoint, what is the probability the player getting the point isKer?
(d)what is the expected number of rolls required before the firstpoint is given?
