SOLUTION: three missiles A B and C are fired the probability that A hits the target 0.5 ,B hits the target is 0.7 and C hits the target 0.4 what is the probability the atleast one will not h

Algebra ->  Probability-and-statistics -> SOLUTION: three missiles A B and C are fired the probability that A hits the target 0.5 ,B hits the target is 0.7 and C hits the target 0.4 what is the probability the atleast one will not h      Log On


   

Question 1125218: three missiles A B and C are fired the probability that A hits the target 0.5 ,B hits the target is 0.7 and C hits the target 0.4 what is the probability the atleast one will not hit the target.
Found 2 solutions by ikleyn, Theo:
Answer by ikleyn(52754) About Me  (Show Source):
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.
The probability that ALL THREE missiles will hit target is the product


    0.5*0.7*0.4 = 0.14.


The probability that at least one missile will not hit the target is the COMPLEMENT to it, i.e.  1 - 0.14 = 0.86.


Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
p(A hits the target) = .5
p(B hits the target) = .7
p(C hits the target) = .4

the probability that at least one will not hit the target is equal to 1 minus the probability that all will hit the target.

the probability that all will hit the target is equal to .5 * .7 * .4 = .14.

1 minus .14 = .86.

the probability that at least one will not hit the target is equal to .86.