Musical styles other than rock and pop are becomming more popular. A survey of college students finds that 42% like country music, 30% like gospel music, and 10% like both. Let C = students likes country; Let G = student likes gospel music.

1. Interpret and find the following: P(C | G)

2. Interpret and find the following: P(G | C)

3. Interpret and find the following: P(C | notG)

4. Interpret and find the following: P(G | notC)

Music preference is assumed to be independent from one person to the next. However, knowing a person likes G influences whether or not they like C, so for one individual, C and G are not independent. Show this mathematically.