Question 145233This question is from textbook
: I am having trouble trying to figure out how to work this probability problem. Could anyone please help me with these? Thank you so much!
After a particularly brilliant Super Bowl ad, a company believes that 78% of all adults (18 and older) recognize their brand.
a. If we sample adults, what’s the probability that the first or the second does not recognize the brand?
b. If we sample adults, what’s the probability that the 3rd person asked is the first one who doesn’t recognize the brand?
~Lyn
This question is from textbook
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! After a particularly brilliant Super Bowl ad, a company believes that 78% of all adults (18 and older) recognize their brand; therefore 22% do not.
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a. If we sample adults, what’s the probability that the first or the second does not recognize the brand?
P(both do not recognize their brand) = = 0.22^2 = 0.0484
P(both recognize their brand) = 0.78^2 = 0.6084
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Therefore P(one or other does not recognize their brand) = 1-(0.0484 + 0.6084)
= 0.3432
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b. If we sample adults, what’s the probability that the 3rd person asked is the first one who doesn’t recognize the brand?
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Prob (do followed by do followed by don't) = (0.78)(0.78)(0.22) = 0.133848..
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Cheers,
Stan H.
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