Dogs are inbred for such desirable characteristics as blue eye color, but an unfortunate by-product of such inbreeding can be th
e emergence of characteristics such as deafness. A 1992 study of Dalmatians (by Strain and others, as reported in The Dalmatians Dilemma) found the following: (i) 31% of all Dalmatians have blue eyes. (ii) 38% of all Dalmatians are deaf. (iii) If a Dalmatian has blue eyes, there is a 42% chance that it is deaf. What is the probability that a randomly chosen Dalmatian is blue-eyed and deaf? 0.31 * 0.38 = 0.1178 0.31 * 0.42 = 0.1302 0.38 * 0.42 = 0.1596 0.31/0.38 = 0.8158 0.31/0.42 = 0.7381 0.38/0.42 = 0.9048