A biased die is rolled until two 1s are rolled in succession, or until a 1 and then a 2 are rolled in succession
(in that order). The die lands on 1 with probability 50%, on 2 with probability 20%, and on something else with probability 30%. What is the probability that the rolling will end with successive 1s?
As there are only two possible ways to end the rolling which considers the last 2 rolls so without any loss of generality we... View the full answer