Probability of At Least One Machine Producing a Component

A company has three different machines that can produce a specific component. Machine A produces the component with a probability of 0.6, Machine B produces the component with a probability of 0.8, and Machine C produces the component with a probability of 0.7. Each machine operates independently. If the company intends to produce this component using all three machines, what is the probability that at least one of the machines will successfully produce the component?

To solve this, you can first determine the probability that each machine fails to produce the component, and then find the probability that all machines fail before calculating the complement.