
Mathematics > Standard Multiple Choice
Read the following SAT test question and then click on a button to select your answer.
If a number is chosen at random from the set
, what is the probability that it is a member of the solution set of both
and
?
(A) 0
(B) 1/5
(C) 2/5
(D) 3/5
(E) 4/5
The Correct answer is C.
Explanation
If
and
, then
. The numbers from the listed set that satisfy these inequalities are -5 and 0. There are five elements in the listed set, so the probability of a number chosen at random from the set being a member of the solution set of both inequalities is 2/5.