### Home > INT2 > Chapter 8 > Lesson 8.3.1 > Problem 8-60

Of the students who choose to live on campus at Coastal College, 10% are seniors. The most desirable dorm rooms are in the newly constructed OceanView dorm, and 60% of the seniors live there while 20% of the rest of the students live there. Homework Help ✎

Represent these probabilities in a two-way table.

What is the probability that a randomly selected resident of the OceanView dorm is a senior?

Use the alternative definition of independence (see the Math Notes box in Lesson 7.2.3) to determine if being a senior is associated with living in the OceanView dorm.

Compare the percentage of seniors who live in OceanView to the percentage of total students who live in OceanView.

25%

If events *A* and *B* are independent, then *P*(*A* and *B*) = *P*(*A*)·*P*(*B*).

The converse of this statement is also true: If *P*(*A* and *B*) = *P*(*A*)·*P*(*B*), then *A* and *B* are independent.