Question

In a shipment of 58 vials, only 16 do not have hairline cracks. If you randomly select 2 vials from the shipment, what is the probability that none of the 2 vials have hairline cracks?

Answer 1

0.0726 or 7.26%

Explanation:

When choosing the first vial, there is a 16 in 58 chance that the vial does not have a hairline crack. When choosing the second vial, since on good vial was already picked, there is a 15 in 57 chance that the vial does not have a hairline crack. The probability that none of the 2 vials have hairline cracks is:

`P = (16)/(58)*(15)/(57)\\P=0.0726`

There is a 0.0726 or 7.26% chance that none of the 2 vials have a hairline crack.