Find probability ten of income tax forms selected for audit


Suppose that the probabilities are , respectively , 0.6, 0.2, 0.1 and 0.1 that an income tax form will be filled out correctly , that it will contain an error favoring a taxpayer , that it will contain an error favoring the government, or thatit will contain both kinds of errors. Find the probability that among 10 of the income tax forms randomly selected for audit, 5 will be correct , 3 will contain an error favoring the tax payer, 1 will contain an error favoring the taxpayer and 1 will contain both kinds of errors. please give answer in details.

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Mechanical Engineering: Find probability ten of income tax forms selected for audit
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