Applied Mathematics for Electrical Engineering (3130908)

Q3) (c ( i )) 

In producing screws, let A mean “screw too slim” and B “screw too small”. Let $\mathrm{P}\left(\mathrm{A}\right)=0.1$ and let the conditional probability that a slim screw is also too small be $\mathrm{P}(\mathrm{B}/\mathrm{A})=0.2$. What is the probability that the screw that we pick randomly from a lot produced will be both too slim and too short?