SOLUTION: What is the probability that the student is a sophomore given he doesn't carry a credit card? Class Credit Card Carrier Not a Credit Card Carrier Total Freshman 33 27 60

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Question 508317: What is the probability that the student is a sophomore given he doesn't carry a credit card?
Class Credit Card Carrier Not a Credit Card Carrier Total
Freshman 33 27 60
Sophomore 6 24 40
Total 39 61 100

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
What is the probability that the student is a sophomore given he doesn't carry a credit card?
Class Credit Card Carrier Not a Credit Card Carrier Total
Freshman 33 27 60
Sophomore 6 24 40
Total 39 61 100
---
P(soph | carries card)
= P(soph AND cc)/P(cc)
= (24/100)/(61/100)
= 24/61
------
P(choice | condition)
Note: The easy way to find these answers
when you have a contingency chart is to
remember that the "conditional" is the
universe and the choice is a subset of
of the conditional. So your conditional
has 61 and your choice has 24. So your
answer is 24/61.
========================
Cheers,
Stan H.
==========

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