A group of 5,167 college students were polled about the food options on their campuses. A breakdown of the type of college the students were attending is listed in the table below.

	Public	Private
2-year college	1,000	721
4-year college	2,774	672

One student is randomly selected. What is the probability that the student attends a 2-year private college? Write your answer in decimal form, rounded to 4 decimal places.

One student is randomly selected. What is the probability that the student attends a 2-year college or a private college? Write your answer in decimal form, rounded to 4 decimal places.

Two students are selected without replacement. What is the probability that they both attend

a 4-year public institution? Write your answer in decimal form, rounded to 4 decimal places.