SAT Mathematics Practice Test 5

Question : 34 of 58

Marks: +1, -0

Type of surgeon	Major professional activity Teaching Research	Total
General	258 156	414
Orthopedic	119 74	193
Total	377 230	607

In a survey, 607 general surgeons and orthopedic surgeons indicated their major professional activity.The results are summarized in the table above. If one of the surgeons is selected at random, which of the following is closest to the probability that the selectedsurgeon is an orthopedic surgeon whose indicated professional activity is research?

$0.122$
$0.196$
$0.318$
$0.379$

Validate

Solution:

According to the table, 74 orthopedic surgeons indicated that research is their major professional activity. Since a total of 607 surgeons completed the survey, it follows that the probability that the randomly selected surgeon is an orthopedic surgeon whose indicated major professional activity is research is 74 out of 607, or 74/607, which is

≈0.122.

Choices B, C, and D are incorrect and may be the result of finding the probability that the randomly selected surgeon is an orthopedic surgeon whose major professional activity is teaching (choice B), an orthopedic surgeon whose major professional activity is either teaching or research (choice C), or a general surgeon or orthopedic surgeon whose major professional activity is research (choice D).

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