### Home > CCA > Chapter 10 > Lesson 10.2.1 > Problem10-29

10-29.

Of the students who choose to live on the East Coast College campus, $10\%$ are seniors. The most desirable dorm is the newly constructed OceanView dorm, and $60\%$ of the seniors who live on campus live there, while $20\%$ of the rest of the on-campus students live there.

1. Represent these probabilities in a graphical display (table, tree, or Venn diagram).

Here is one possible diagram.

Ocean View

No Ocean View

Total

Senior

$\left(0.60\right)\left(0.10\right)=0.06$

$0.04$

$0.10$

Not a senior

$\left(0.20\right)\left(0.90\right)=0.18$

$0.72$

$0.90$

$0.24$

$0.76$

$1.00$

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

Use your diagram to find the probability.
What is the total number of students in OceanView?
What is the percent of students that are seniors?
What percent of students are seniors and live in OceanView?