Given the probability that A can solve a problem is 2/3 and the probability that B can solve the same problem is 3/5. Find the probability that none of the two will be able to solve the problem.

Explanation

Given: P(A can solve problem )`=frac{2}{3}`


`P(A)=frac{2}{3} `


`P(bar{A})=1-P(A)=1-frac{2}{3}`
`=frac{1}{3}`


P(B can solve the problem )`=frac{3}{5}`


`P(B)=frac{3}{5}`


`P (overline(B))=1-P(overline (B))`


`=1-frac{3}{5}=frac{2}{5}`.


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