Probability question


For the 1st part of the question do I use Baye's Theorem?
e.g. Required probability = 0.25*0.35/[(0.25*0.35)+(0.30*0.65)]= 0.30 - using Baye's Theorem

And can anyone help me with the 2nd part. I have no idea on how to use the information to answer the question. Thanks !
Do I just use (0.85)(0.25) * (Answer in 1st part)? Thanks
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