Three persons work independently on a problem. If
the respective probabilities that they will solve it are 1/3, 1/4 and 1/5,
then find the probability that not can solve it.
Text Solution
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Let three persons be A,B and C. Clearly,the probabilities of solving the probalem by A, B and C are independent. Given tht `P(A)=1//3,P(B)=1//4and P(C)=1//5.` `therefore` P(none can solve the problem) `P(A'nnB'nnC')` `=P(A')nn(B')P(C')` `=(1-P(A))(1-P(C))` `=(1-(1)/(3))(1-(1)/(4))(1-(1)/(5))` `=(2)/(3).(3)/(4).(4)/(5)=2/5`
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