# Question: A and B alternate rolling a pair of dice stopping

A and B alternate rolling a pair of dice, stopping either when A rolls the sum 9 or when B rolls the sum 6. Assuming that A rolls first, find the probability that the final roll is made by A.

**View Solution:**## Answer to relevant Questions

In a certain village, it is traditional for the eldest son (or the older son in a two-son family) and his wife to be responsible for taking care of his parents as they age. In recent years, however, the women of this ...In a certain contest, the players are of equal skill and the probability is 1/2 that a specified one of the two contestants will be the victor. In a group of 2n players, the players are paired off against each other at ...Consider a collection of n individuals. Assume that each person’s birthday is equally likely to be any of the 365 days of the year and also that the birthdays are independent. Let Ai,j, i ≠ j, denote the event that ...A round-robin tournament of n contestants is a tournament in which each of the pairs of contestants play each other exactly once, with the outcome of any play being that one of the contestants wins and the other loses. For a ...Two balls are chosen randomly from an urn containing 8 white, 4 black, and 2 orange balls. Suppose that we win $2 for each black ball selected and we lose $1 for each white ball selected. Let X denote our winnings. What are ...Post your question