SOLUTION: The probability that a cruise missile hits target on any particular mission is .80. Four cruise missiles are sent after the same target. What is the probability: A. They all h

Algebra ->  Probability-and-statistics -> SOLUTION: The probability that a cruise missile hits target on any particular mission is .80. Four cruise missiles are sent after the same target. What is the probability: A. They all h      Log On


   

Question 329423: The probability that a cruise missile hits target on any particular mission is .80. Four cruise missiles are sent after the same target. What is the probability:

A. They all hit the target?
B. None hit the target?
C. At least one hits the target?
Found 2 solutions by stanbon, Fombitz:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The probability that a cruise missile hits target on any particular mission is .80. Four cruise missiles are sent after the same target. What is the probability:
A. They all hit the target?:::0.8^4
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B. None hit the target?:::0.2^4
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C. At least one hits the target?::: 1-0.2^4 = 0.9984
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Cheers,
Stan H.
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Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A)P=%280.8%29%5E4=0.4096
.
.
B)P=%280.2%29%5E4=0.0016
.
.
C)"At least one hits the target" is the same as saying "not all missed".
P(all missed)+P(not all missed)=1
P(not all missed)=1-P(all missed)
P(not all missed)=1-0.0016=0.9984
P(at least one)=0.9984