SOLUTION: A soft drink company holds a contest in which a prize may be revealed on the inside of the bottle cap. The probability that each bottle cap reveals a prize is 0.2 and winning is in

Question 311670: A soft drink company holds a contest in which a prize may be revealed on the inside of the bottle cap. The probability that each bottle cap reveals a prize is 0.2 and winning is independent from one bottle to the next. What is the probability that a customer must open three or more bottles before winning a prize
(0.2)(0.2)(0.8) = 0.032
(0.8)(0.8)(0.2) = 0.128
(0.8)(0.8) = 0.64
1- (0.2)(0.2)(0.8) = .968
Thanks,
Kim

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A soft drink company holds a contest in which a prize may be revealed on the inside of the bottle cap. The probability that each bottle cap reveals a prize is 0.2 and winning is independent from one bottle to the next.
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What is the probability that a customer must open three or more bottles before winning a prize
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The customer cannot win on the 1st or 2nd bottle.

(0.2)(0.2)(0.8) = 0.032
(0.8)(0.8)(0.2) = 0.128
(0.8)(0.8) = 0.64
1- (0.2)(0.2)(0.8) = .968
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P(wins on the 3rd bottle) = 0.8*0.8*0.2 = 0.128
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Cheers,
Stan H.

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