Difference between revisions of "1981 AHSME Problems/Problem 26"
Math-family (talk | contribs) (Created page with "== Problem == Alice, Bob, and Carol repeatedly take turns tossing a die. Alice begins; Bob always follows Alice; Carol always follows Bob; and Alice always follows Carol. Fin...") |
(No difference)
|
Revision as of 20:57, 26 January 2019
Problem
Alice, Bob, and Carol repeatedly take turns tossing a die. Alice begins; Bob always follows Alice; Carol always follows Bob; and Alice always follows Carol. Find the probability that Carol will be the first one to toss a six. (The probability of obtaining a six on any toss is , independent of the outcome of any other toss.)