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单选题
X = {-4,-2, 1,3}, Y= {-1,4,5}. If x is a number from set X, and y is a number from set Y. The probability that x + y is positive is closest to ______.
A
0.5
B
0.6
C
0.7
D
0.8
E
0.9
参考答案
参考解析
解析：
Split the problem into four cases, one for each possible value of x. Then add each possible value of y (-1, 4, 5). x=-4, y=-5, 0, 1; x=-2, y=-3, 2, 3; x=1, y=0, 5, 6; x=3, y=2, 7, 8. There are 12 answers to (x + y). Eight of these are greater than 0. The probability that the sums of x and y are positive (greater than zero) is 8/12=0.66, which is closest to 0. 7.
Split the problem into four cases, one for each possible value of x. Then add each possible value of y (-1, 4, 5). x=-4, y=-5, 0, 1; x=-2, y=-3, 2, 3; x=1, y=0, 5, 6; x=3, y=2, 7, 8. There are 12 answers to (x + y). Eight of these are greater than 0. The probability that the sums of x and y are positive (greater than zero) is 8/12=0.66, which is closest to 0. 7.
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