Answer:
There is a 33.67% probability that exactly one of them is defective.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Here, we can have different formats. For example, D-ND-ND is the same as ND-D-ND, that is, the ordering is not important. So we use the combinations formula.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
Desired outcomes
One defective(one from a set of 55) and two non defective(two from a set of 45). So
Total outcomes
Three from a set of 100. So
What is the probability that exactly one of them is defective
There is a 33.67% probability that exactly one of them is defective.