Researchers asked students in grades 4 through 6 in three school districts in Missouri about what they thought was the most important thing in school: making good grades, being popular, or being popular, or being good in sports. There were rural, suburban, and urban schools surveyed. Here are the results:

Rural Suburban Urban All

Grades 57 87 103 247

Popular 50 42 49 141

Sports 42 22 26 90

All 149 151 178 478

One person is selected at random. Find the probabilities as decimals rounded to 3 places.

a. The person thought Grades were the most important OR the person was from a Suburban School.

b. The person thought Grades were the most important given that the person was from a rural school.

c. The person was from an urban school given that the person thought Sports was the most important.

d. The person is from a rural OR suburban school.