I don't know how to solve it. It has to be rounded to the nearest thousandth as​ needed

Question

A container contains

6

diesel engines. The company chooses

4

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 defective engines.

Answer 1

So there are 4 non-defective and 2 defective engines.

You will pick four-engine randomly and the probability of choosing

four non-defective engine=(4/6)*(3/5)*(2/4)*(1/3)=1/15

So, probability that a container will be shipped even though it contains 2 defective engines is 1/15