Probability Involving AND and OR

by Derivator
Tags: involving, probability
Derivator is offline
May22-12, 02:24 AM
P: 144
Hi folks,

1. The problem statement, all variables and given/known data
At Roanoke College it is known that 1/3
of the students live off campus. It is also known that 5/9
of the students are from within the state of Virginia and that 3/4
of the students are from out of state or live on campus. What is the
probability that a student selected at random from Roanoke College is from out
of state and lives on campus?

2. Relevant equations


3. The attempt at a solution

It should yield:
P(out off state OR lives on campus) = P(out off state) + P(lives on campus) - P(out off state AND lives on campus)
P(out off state AND lives on campus)
= P(out off state)+P(lives on campus)-P(out off state OR lives on campus)
=4/9 + 2/3 - 3/4
Is this correct?

Phys.Org News Partner Science news on
Cougars' diverse diet helped them survive the Pleistocene mass extinction
Cyber risks can cause disruption on scale of 2008 crisis, study says
Mantis shrimp stronger than airplanes
RoshanBBQ is offline
May22-12, 03:18 AM
P: 280
Derivator is offline
May23-12, 04:25 AM
P: 144

HallsofIvy is online now
May23-12, 06:49 AM
Sci Advisor
PF Gold
P: 38,898

Probability Involving AND and OR

The phrase should be "out of state", not "out off state".

Register to reply

Related Discussions
a simple probability problem involving the law of total probability Calculus & Beyond Homework 1
probability (involving conditioning) Calculus & Beyond Homework 1
Probability involving a deck of cards Precalculus Mathematics Homework 1
Probability involving coin flips Calculus & Beyond Homework 4
Probability involving combinations Precalculus Mathematics Homework 2