Question

The U.S. Energy Department states that 60% of all U.S. households have ceiling fans. In addition, 29% of all U.S. households have an outdoor grill. Suppose 13% of all U.S. households have both a ceiling fan and an outdoor grill. A U.S. household is randomly selected. (Round your answers to 2 decimal places.)

a. What is the probability that the household has a ceiling fan or an outdoor grill? p =


b. What is the probability that the household has neither a ceiling fan nor an outdoor grill? p =


c. What is the probability that the household does not have a ceiling fan and does have an outdoor grill? p =


d. What is the probability that the household does have a ceiling fan and does not have an outdoor grill? p =

Answer 1

You must first subtract the combined percentage of 13% to both groups- think of a venn diagram. It always helps to draw one out!
A) 76%
B) 24%
C) 16%
D) 47%

Answer 2

take 0.6 + 0.29 - 0.13 = 0.67 for a
Take 1 - 0.67 = 0.33 for b

Take 0.29 - 0.13 = 0.16 for c
Take 0.6 - 0.13 = 0.47 for d