International Housewares Association (IHA) reported that 73% of all U.S. househo

Question

International Housewares Association (IHA) reported that 73% of all U.S. households have ceiling fans. In addition, 77% of all U.S. households have an outdoor grill. Suppose 60% 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 not 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=

Explanation / Answer

P(C) = 0.73, P(G) = 0.77, P(C and G) = 0.60

(a) P(C or G) = P(C) + P(G) - P(C and G) = 0.73 + 0.77 - 0.6 = 0.9

(b) P(Neither C nor G) = 1 - P(C or G) = 1 - 0.9 = 0.1

(c) P(Not C and Not G) = P(Neither A nor B) = 0.1

(d) P(C and Not G) = P(C) * P(Not G) = 0.73 * (1 - 0.77) = 0.168

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