Shown here are the top 19 companies in the world in terms of oil refining capacity. 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 is privately owned?

Company ..........Ownership Status

ExxonMobil .......Private

Royal Dutch/Shell .....Private

Sinopec ..........Private

British Petroleum ......Private

ConocoPhillips .......Private

Petroleos de Venezuela .... State

Total ...........Private

Valero Energy .......Private

China National ....... State

Saudi Arabian ........ State

Petroleo Brasilerio ..... State

Chevron .........Private

Petroleos Mexicanos ..... State

National Iranian ....... State

Nippon ..........Private

Rosneft (Russia) ....... State

OAO Lukoil .........Private

Repsol YPF .........Private

Kuwait National ....... State