SOLUTION: Smart TVs have seen success in the United States market. During the 2nd quarter of 2015 45% of TVs sold in the United States were Smart TVs. That’s an increase of 11% from 2014.

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Question 1167908: Smart TVs have seen success in the United States market. During the 2nd quarter of
2015 45% of TVs sold in the United States were Smart TVs. That’s an increase of 11% from 2014.
Choose three households and find the probability that
(a) None of the 3 households had a Smart TV
(b) All 3 households had a Smart TV
(c) At least 1 of the 3 households had a Smart TV
Answer by ikleyn(52788) About Me  (Show Source):
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Smart TVs have seen success in the United States market. During the 2nd quarter of
2015 45% of TVs sold in the United States were Smart TVs. That’s an increase of 11% from 2014.
Choose three households and find the probability that
(a) None of the 3 households had a Smart TV
(b) All 3 households had a Smart TV
(c) At least 1 of the 3 households had a Smart TV
~~~~~~~~~~~~~~~~~~~~~~~~~~ 

(a)  P = (1-0.45)*(1-0.45)*(1-0.45) = 0.166375.


(b)  P = 0.45*0.45*0.45 = 0.091125.


(c)  This is the complement to (a)

           P = 1 - (1-0.45)*(1-0.45)*(1-0.45) = 1 - 0.166375 = 0.833625.

Solved.