65. A large operator of timeshare complexes requires anyone interested in making a purchase to first visit the site of interest. Historical data indicates that 20% of all potential purchasers select a day visit, 50% choose a one-night visit, and 30% opt for a two-night visit. In addition, 10%

of day visitors ultimately make a purchase, 30% of onenight visitors buy a unit, and 20% of those visiting for two P(Au B ¨ C)

P(B ¨ C)

P(A ¨ B ¨ C)

P(Cu Ar ¨ B) 5 .7 P(Cu Ar ¨ Br) 5 .3 P(Cu A ¨ B) 5 .8 P(Cu A ¨ Br) 5 .6 P(A) 5 .75 P(Bu A) 5 .9 P(Bu Ar) 5 .8 nights decide to buy. Suppose a visitor is randomly selected and is found to have made a purchase. How likely is it that this person made a day visit? A one-night visit?

A two-night visit?