A container contains 15 diesel engines. The company chooses 13 engines at random, and will not ship the container if any of the
engines chosen are defective. Find the probability that a container will be shipped even though it contains 2 defectives if the sample size is 13. The Probability the container will be shipped is
Round to the nearest thousandth as needed
We have 15 diesel engines, from which 13 are okay, and 2 are defected. Since there are 15 engines and 13 will be chosen two ship in the continer, the possibe number of outcomes is:
Where n = 15 and r=11.
Substituting, we find that:
Now we need to find the probability of choosing 13 effective engines and 0 defective engines, which is given by: