A local moving company owns 11 trucks. Three are randomly selected for compliance with emission standards and

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A local moving company owns 11 trucks.

Three are randomly selected for compliance with emission standards and all are found to be noncompliant. The company argues that these are the only three which do not meet the standards.

Calculate the probability that, if only three are noncompliant, all three would be in the sample. Comment on the veracity of the company’s claim.

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