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?

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RoshanBBQ is offline
May22-12, 03:18 AM
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Derivator is offline
May23-12, 04:25 AM
P: 144

HallsofIvy is offline
May23-12, 06:49 AM
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Probability Involving AND and OR

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

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