SOLUTION: 3 hunters have probabilities 2/5, 1,2 and 3/4 of hiting a target. Find the Probability that: (a) All hits the Target (b) Hits the Target (c). None hits the Target (c) One hit

Algebra ->  Probability-and-statistics -> SOLUTION: 3 hunters have probabilities 2/5, 1,2 and 3/4 of hiting a target. Find the Probability that: (a) All hits the Target (b) Hits the Target (c). None hits the Target (c) One hit      Log On


   

Question 1153452: 3 hunters have probabilities 2/5, 1,2 and 3/4 of hiting a target. Find the Probability that:
(a) All hits the Target
(b) Hits the Target
(c). None hits the Target
(c) One hits the Target
Answer by ikleyn(52792) About Me  (Show Source):
You can put this solution on YOUR website!
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3 hunters have probabilities 2/5, 1/2 and 3/4 of hitting a target. Find the Probability that:
(a) All hits the Target
(b) Hits the Target
(c). None hits the Target
(c) One hits the Target
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(a)  P = %282%2F5%29%2A%281%2F2%29%2A%283%2F4%29 = 6%2F40 = 3%2F20.    ANSWER


(b)  "Hits the Target"         <<<---=== It is VERY UNCLEAR what you want to ask.


(c)  P = %281-2%2F5%29%2A%281-1%2F2%29%2A%281-3%2F4%29.   Calculate it on your own.


(d)  P = %282%2F5%29%2A%281-1%2F2%29%2A%281-3%2F4%29 + %281-2%2F5%29%2A%281%2F2%29%2A%281-3%2F4%29 + %281-2%2F5%29%2A%281-1%2F2%29%2A%283%2F4%29.    Calculate the numerical value on your own.