Question

A music store has a discount bin full of CD’s. This bin contains 42 classical, 25 pop, 17 jazz, and 38 rock music CDs. What is the probability of selecting two CD’s at random that are BOTH jazz music?

Answer 1

`P(Jazz\ and\ Jazz) = (289)/(14884)`

Explanation:

Given

`Classical = 42`

`Pop = 25`

`Jazz = 17`

`Rock = 38`

Required

Determine the probability of selecting Jazz, twice

This probability can be represented using P(Jazz and Jazz) and is calculated as thus:

`P(Jazz\ and\ Jazz) = P(Jazz) *P(Jazz)`

`P(Jazz\ and\ Jazz) = (n(Jazz))/(Total) * (n(Jazz))/(Total)`

`P(Jazz\ and\ Jazz) = (17)/(42 + 25 + 17 + 38) * (17)/(42 + 25 + 17 + 38)`

`P(Jazz\ and\ Jazz) = (17)/(122) * (17)/(122)`

`P(Jazz\ and\ Jazz) = (17^2)/(122^2)`

`P(Jazz\ and\ Jazz) = (289)/(14884)`