A company has two machines that produces widgets. An older machine produces 25%

Question

A company has two machines that produces widgets. An older machine produces 25% defective widgets, while the new machine produces 15% defective widgets. In addition, the new machine produces two times as many widgets as the older machine does.
1) what is the probability that a randomly chosen widget was produced by the older machine? A) 15% B) 25% C) 33.3% D) 75%
2) given that a widget was produced by a new machine, what is the probability that is NOT defective? A) 15% B) 25% C) 66.6% D) 85%
A company has two machines that produces widgets. An older machine produces 25% defective widgets, while the new machine produces 15% defective widgets. In addition, the new machine produces two times as many widgets as the older machine does.
1) what is the probability that a randomly chosen widget was produced by the older machine? A) 15% B) 25% C) 33.3% D) 75%
2) given that a widget was produced by a new machine, what is the probability that is NOT defective? A) 15% B) 25% C) 66.6% D) 85%

1) what is the probability that a randomly chosen widget was produced by the older machine? A) 15% B) 25% C) 33.3% D) 75%
2) given that a widget was produced by a new machine, what is the probability that is NOT defective? A) 15% B) 25% C) 66.6% D) 85%

Explanation / Answer

1)as the new machine produce twice the amount of old machine therefore the probability of items produces by new machine = 2/3

while the items produced by old = 1/3

hence the probability = 33.33% hence option C is correct

2) the probability that the item produces by new and not defective = 0.66*0.85

now its given that the itmen was produced by new

therefore the probability = 0.66*0.85/0.66

hence answer = 85% hence option D is correct

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