Shown here are 19 oil-refining companies. Some of the companies are privately owned and others are state owned. Suppose six companies are randomly selected.a. What is the probability that exactly one company is privately owned?b. What is the probability that exactly four companies are privately owned?c. What is the probability that all six companies are privately owned?d. What is the probability that none of the companies are privately owned?

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Company ExxonMobil Royal Dutch Shell BP Total S.A. PDVSA Sinopec Limited Saudi Aramco China Petrochemical Petrobras Pemex National Iranian Oil Company Texaco Chevron Corporation Repsol S.A. Kuwait Petroleum Corporation Agip JXTG Nippon Oil & Energy Marathon Petroleum Pertamina Ownership Status Private Private Private Private State Private State State State State State Private Private Private State Private Private Private State