Chandler is selling tickets for \$1 per ticket. In the queue for tickets, there are ‘m‘ people with a single \$1 coin and 2 with a \$2 coin. Each person in the queue wants to buy a single ticket and each arrangement of people in the queue is equally likely to occur. Initially , Chandler has no coins and a large supply of tickets He will stop selling the tickets if he cannot give the required change. What is the probability that he will be able to sell one ticket to each person in the queue.?
(a) (m-1) / (m+1)
(b) 2 / (m+1)
(c) 18 / (m)(m+1)(m+2)
(d) (m-2) / (m+2)