Acontainer contains 1212 diesel engines. the company chooses 88 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 88.

The probability that a container will be shipped even though it contains 2 defectives if the sample size is 88, will be

Step-by-step explanation:

The first step is to count the number of total possible random sets of taking a sample size of 88 engines over 1212 engines of the population, so

The second step is to count the number of total possible random sets of taking a sample size of 88 engines over 1210 engines (discounting the 2 defective engines) as the possible ways to succeed, so

Finally we need to compute , therefore the probability that a container will be shipped is