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) 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

The probability that the dogs are blue eyed and deaf is 13.02%.

Step-by-step explanation:

We are given the following information in the question:

P(Blue eyes) = 31%

P(Deaf) = 38%

P(Deaf | Blue eyes) = 42%

Formula for conditional probability:

Now, let A be the event where the dog is deaf and B be the the event where dog is blue eyed.

Hence, the probability that the dogs are blue eyed and deaf is 13.02%.

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.