Question

A factor has two machines AandB. Past record show that machines A produced60 percent of the items of output and machine B 40percent of the items. Further 2percent of the items produced by machines A and 1percent produced by machineB were detective. All the items are put into one stockpile and then one item is chosen at random from this and is found to be detective .What is the probability that it was produced by machineB?


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Answer 1

Answer:

1/25 or 0.4

Step-by-step explanation:

Machine B produces:

• 40% of the items

Machine B produces:

• 1% defective = 40*0.01= 0.4% of overall production

The probability of getting defective item produced by machine B:

• 0.4% or 1/25

Solution2

A=60, B=40, total= 100

Def A= 60*2%=1.2

• 1.2 out of 100 = 1.2%

Def B= 40*1%=0.4

• 0.4 out of 100 = 0.4%

Answer is 0.4% or 1/25