Question 395679
let p(A)=prob Anna solves the problem
let p(C)=prob Cathy solves the problem
let p(nA)=prob Anna does not solve the problem
let p(nC)=prob Cathy does not solve the problem
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Given P(A)=0.6, P(C)=0.3 and P(A), P(C) are independent
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P(nA)=1-P(A)=0.4 and P(nC)=0.7
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Find the probability that only one of them will be able to solve it.
=P(A and nC)+P(nA + C)
=P(A)P(nC)+P(nA)P(C)  by independence
=0.6*0.7+0.4*0.3=0.42+0.12=0.54