SOLUTION: The probability that a bomber hits its target on any particular mission is .80. Four Bombers are sent after the same target. What is the probability? a.They all hit the target. b

Algebra ->  Probability-and-statistics -> SOLUTION: The probability that a bomber hits its target on any particular mission is .80. Four Bombers are sent after the same target. What is the probability? a.They all hit the target. b      Log On


   



Question 845896: The probability that a bomber hits its target on any particular mission is .80. Four Bombers 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.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let H be hit, M be miss.
a)P%28HHHH%29=%280.8%29%280.8%29%280.8%29%280.8%29=0.4096
b)P%28MMMM%29=%280.2%29%280.2%29%280.2%29%280.2%29=0.0016
c)P%28At_least_one_hit%29+%2B+P%28None_hit%29+=+1
P%28At_least_one_hit%29=1-P%28MMMM%29=1-0.0016=0.9984