Question coat-c

3.5 Probability & Conditional Probability - Conditional probability formula
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Coat color Eye color
Deep blue Light brown Total
Cream-tortoiseshell 16 16 32
Chocolate 12   4 16
Total 28 20 48

The data on the coat color and eye color for 48 Himalayan kittens available for adoption were collected and summarized in the table above. What fraction of the chocolate-colored kittens has deep blue eyes?

A.
the fraction 12 over 48
B.
the fraction 12 over 28
C.
the fraction 16 over 32
D.
the fraction 12 over 16

Coat color Eye color Deep blue Light brown Total Cream- tortoiseshell 16 16 32 Chocolate 12

Hard-difficulty · SAT Math · Probability & Conditional Probability — Conditional probability formula. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice D is correct. The table shows that there are a total of 16 kittens that have a chocolate-colored coat. Of the 16 with a chocolate-colored coat, 12 have deep blue eyes. Therefore, the fraction of chocolate-colored kittens with deep blue eyes is simply the ratio of those two numbers, or the fraction 12 over 16.

Choice A is incorrect; this is the fraction of all chocolate-colored kittens. Choice B is incorrect; this is the fraction of kittens with deep blue eyes that have a chocolate-colored coat. Choice C is incorrect; this is the fraction of cream-tortoiseshell-colored kittens with deep blue eyes.