Question

Problem 8. A parking lot consists of a single row containing N parking spaces (N 2 2). Mary arrives when all spaces are free. Tom is the next person to arrive. Each person makes an equally likely choice among all available spaces at the time of arrival. a) Obtain P(A), the probability the parking spaces selected by Mary and Tom are adja- cent (b) Fully explain and carry out the logical checks on your answer for N 2 and as N ес becomes large.

Answer 1

eiseuohe se , Tom has Sampie spae Paking space in n in-1 Case 3 Tom are placed places Simiay i maxy posks on the end COY) second last forn the end coz id ast som the end. Tom has onty one sking spot in sampie spaale But it masy pasks eisewhese, Tom has king space in Sample space n-6 n n- n) Tot a aobab Placed PLaces apost is given by adding these psobabilites that mazy Ton ase nin-1) 6Cn-a) nen-)