A check of dorm rooms on a large college campus revealed that 38% had refrigerators, 52% had tvs, and 21% had both a tv and a refrigerator. what's the probability that a randomly selected dorm room has

a. a tv but no refrigerator?

b. a tv or a refrigerator, but not both?

c. neither a tv nor a refrigerator?

A) 31%

B) 48%

C) 31%

Explanation

52% had TVs, including the 21% that had both. 52-21 = 31% of students that only had a TV.

38% had refrigerators, including the 21% that had both. 38-21=17% that had only a refrigerator; combining this with the 31% that had only a TV, 31+17 = 48%.

100 - (17+21+31) = 100-69 = 31% had neither.