SOLUTION: The probabilities that Sani , Kato and Titi will hit a target are 3/4,2/5 and 1/3 respectively.If all the three men shoot once, what is the probability that the target will b

Algebra.Com
Question 1114414: The probabilities that Sani , Kato and Titi will hit a target
are 3/4,2/5 and 1/3 respectively.If all the three men shoot once,
what is the probability that the target will be hit only once?
Answer by Edwin McCravy(20065)   (Show Source): You can put this solution on YOUR website!
The probabilities that Sani , Kato and Titi will hit a target
are 3/4,2/5 and 1/3 respectively. 
P(S) = 3/4, P(not S) = 1 - 3/4 = 1/4
P(K) = 2/5, P(not K) = 1 - 2/5 = 3/5
P(T) = 1/3, P(not T) = 1 - 1/3 = 2/3

If all the three men shoot once, what is the probability that the
target will be hit only once?
P(S)×P(not K)×(not T)+P(not S)×P(K)×P(not T)+P(not S)×P(not K)×P(T) =

(3/4)(3/5)(2/3)+(1/4)(2/5)(2/3)+(1/4)(3/5)(1/3) = 5/12

Edwin
RELATED QUESTIONS

In a firing contest; the probability that Tayo and Tope hit the target are 2/5 and 1/3... (answered by reviewermath)
Three friends tayo, titi and tunde shared a quantity of walnuts in the ratio 3:4:5.if... (answered by josgarithmetic)
three friends tayo,titi and tunde shared a quantity of walnuts in the ratio 3:4:5.if... (answered by ikleyn)
if the probabilities of hitting a target is 1/6 and twelve shots are fired... (answered by ewatrrr)
3 hunters have probabilities 2/5, 1,2 and 3/4 of hiting a target. Find the Probability... (answered by ikleyn)
The probabilities of A, B, C solving a problem are 1/3, 2/7 and 3/8 respectively. If all... (answered by swincher4391)
Can you answer and explain this? Please help me. Thank you! If the probabilities of... (answered by KMST)
Three people are shooting at a target. The probabilities that they hit the target are... (answered by jim_thompson5910)