Posted by **Dee** on Wednesday, March 21, 2012 at 12:36pm.

Musical styles other than rock and pop are becoming more popular. A survey of college students finds that 48% like country music, 30% like gospel music, and 10% like both. What is the conditional probability (±0.01) that a student likes gospel music, given that he or she likes country music

- statistics -
**MathMate**, Wednesday, March 21, 2012 at 4:32pm
Conditional probability of A given B is given by

P(A|B)=P(A∩B)/P(B)

C=country, P(C)=0.48

G=gospel, P(G)=0.30

C∩G=both, P(C∩G)=0.10

P(gospel given country)

=P(G|C)

=P(G∩C)/P(C)

=0.10/0.48

=0.21

- statistics -
**thg**, Monday, April 2, 2012 at 5:39pm
p(c)=0.48

p(g)=0.30

p(cng)=0.10

p(CuN)=0.48+0.30-0.10

=0.68

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