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Math Help - probability again ..

  1. #1
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    probability again ..

    An anti aircraft gun can fire 4 shots at a time . If the probabilities of the 1st , 2nd , 3rd and last shot hitting the enemy aircraft are 0.7 , 0.6 , 0.5 , 0.4 . What is the Probability that the four shots aimed at the enemy aircraft will hit the target ?
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  2. #2
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    An anti aircraft gun can fire 4 shots at a time . If the probabilities of the 1st , 2nd , 3rd and last shot hitting the enemy aircraft are 0.7 , 0.6 , 0.5 , 0.4 . What is the Probability that the four shots aimed at the enemy aircraft will hit the target ?


    probability that all for shots will hit the target=0.7 X 0.6 X 0.5 X 0.4
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  3. #3
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    Re :

    I have thought of that way too , but the answer is wrong . Are you sure that is the correct solution ..
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  4. #4
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    if the question is - what is the probability that all the shots will hit the target then it is correct
    but ifthe question iswhat is the probability that the target will be hit (gunned down) then solution is different....
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  5. #5
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    what is the probability that the target will be hit (gunned down)

    in this case we will find the probability that atleast one shot hits the target
    first of all find the probability that None of the shots hit the target
    =(1-0.7)X(1-0.6)X(1-0.5)X(1-0.4)
    =0.3 X 0.4 X 0.5 X 0.6

    probability( atleast one shot hits the target)=1-(0.3 X 0.4 X 0.5 X 0.6)
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  6. #6
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    Yeah , that 's exactly what i am looking for , thannks .
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