Dogs are inbred for such desirable characteristics as blue eye color; but an unfortunate by-product of such inbreeding can be the 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) 42% of blue-eyed Dalmatians are deaf. What is the probability that a randomly chosen Dalmatian is blue-eyed and deaf? .31 * .38 = .1178 .31 * .42 = .1302 .38 * .42 = .1596 .31 / .38 = .8158 .31 / .42 = .7381 .38 / .42 = .9048

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Dogs are inbred for such desirable characteristics as blue eye color; but an unfortunate by-product of such inbreeding can be the 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) 42% of blue-eyed Dalmatians are deaf.

What is the probability that a randomly chosen Dalmatian is blue-eyed and deaf?

  • .31 * .38 = .1178
  • .31 * .42 = .1302
  • .38 * .42 = .1596
  • .31 / .38 = .8158
  • .31 / .42 = .7381
  • .38 / .42 = .9048
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