Question

Dogs are inbred for such desirable characteristics as color; but an unfortunate by-product of such inbreeding can be the emergence of characteristics such as deafness. A 1992 study of bull terriers (by Strain and others, as reported in The Veterinary Journal) found the following:

(i)
50% of the studied bull terriers are white.

(ii)
11% of the studied bull terriers are deaf.

(iii)
20%

of the white bull terriers are deaf.
What is the probability that a randomly chosen bull terrier is white and deaf?

.11 / .50 = .22

.20 / .50 = .4

.11 / .20 = .55

.50 * .11 = .055

.50 * .20 = .1

.11 * .20 = .022

Answer 1

0.50 × 0.20 = 0.1

Explanation:

Data provided in the question:

P( White ) = 50% = 0.50

P( Deaf ) = 11% = 0.11

P( Deaf/White ) = 20% = 0.20

Now,

The probability that a randomly chosen bull terrier is white and deaf

i.e

P( White/Deaf ) = P( Deaf/White ) × P( White )

= 0.20 × 0.50

= 0.1

Hence,

The answer is option 0.50 × 0.20 = 0.1