Thread: Easy Probability

The manager of a jewellery shop is interested in the likelihood of a lapping machine producing a defective item. Past experience has shown that the lapping machine is in good condition 86% of the time. When the machine is in good condition, it produces a defective item 5% of the time. When the machine is in bad condition, it produces a defective item 12% of the time.

Calculate:
a) the probability that the machine is in good condition and produces a defective item.
b) The probability the machine produces a defective item
c)Bad condition and produces defective item
d)Bad condition and does not produce defective item
e) good condition and does not produce defective item

Thanks

Originally Posted by lk3456

The manager of a jewellery shop is interested in the likelihood of a lapping machine producing a defective item. Past experience has shown that the lapping machine is in good condition 86% of the time. When the machine is in good condition, it produces a defective item 5% of the time. When the machine is in bad condition, it produces a defective item 12% of the time.

Calculate:
a) the probability that the machine is in good condition and produces a defective item.
b) The probability the machine produces a defective item
c)Bad condition and produces defective item
d)Bad condition and does not produce defective item
e) good condition and does not produce defective item

Thanks

Start by drawing a tree diagram. Can you do this?