Answer:
0.0726 or 7.26%
Step-by-step 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:
[tex]P = \frac{16}{58}*\frac{15}{57}\\P=0.0726[/tex]
There is a 0.0726 or 7.26% chance that none of the 2 vials have a hairline crack.