Question 1115445
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Of every 10000 resistors, 36%, i.e. {{{(10000/100)*36}}} = 3600 are made by the machine A, and every 5% of these 3600, i.e. {{{(3600/100)*5}}} = 180 are defective.


Of every 10000 resistors, the rest 64%, i.e. {{{(10000/100)*64}}} = 6400 are made by the machine B, and every 2% of these 6400, i.e. {{{(6400/100)*2}}} = 128 are defective.


Given that a resistor chosen at random is defective means that you choose it from 180+128 = 308 defective.


It is your space of events under the given restriction.


Then the conditional probability under the question is  {{{180/308}}} = 0.584 = 58.4%.
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Solved.