SAT数学Problem Solving练习题(17)
- 2017年07月25日14:21 来源:互联网
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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.