Survey of college students finds that 42% like country music, 31% like gospel. A

Question

Survey of college students finds that 42% like country music, 31% like gospel. And 7% like both.
What is the conditional Probability that a students likes gospel music, given he/she likes country music?


Survey of college students finds that 42% like country music, 31% like gospel. And 7% like both.
What is the conditional Probability that a students likes gospel music, given he/she likes country music?



What is the conditional Probability that a students likes gospel music, given he/she likes country music?

Explanation / Answer

Probability of liking country music=42%=0.42

P(like gospal)=0.31 P(like both)= 0.07

P(likes gospal / likes country music) = P(likes gospal and country music both) / P(like country music)

= 0.07 / 0.42

= 0.167

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