SAT数学Problem Solving练习题（17）

>>SAT考试：SAT数学Problem Solving练习题（17）

>>SAT考试辅导：精品课程高端指导

Question 17: If a is an integer chosen randomly from the set {3, 5, 6, 9} and b is an integer chosen randomly from the set {2, 3, 4}, what is the probability that a/b is an integer?

(a) .125

(b) .250

(c) .333

(d) .5

(e) .55

Answer: We have 4 possible integers for a and 3 for b, so the number of possible combinations for a/b is 4 · 3 = 12.

a/b is an integer only for 4 combinations:

1. a = 3 and b = 3

2. a = 6 and b = 2

3. a = 6 and b = 3

4. a = 9 and b = 3

The probability that a/b is an integer is 4/12 = 1/3 = .333.

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