Question

Marcy loads 2 CDs into her multidisc CD player. When the CD player is set to
random mode, it plays 1 song at random from the first CD and 1 song at
random from the second CD.
• Each CD contains 12 songs.
• The first CD contains 6 songs that she likes.
• The second CD contains 4 songs that she likes.
What is the probability that the first 2 songs played on the CD player when it is
set to random mode will be 2 songs that Marcy likes?

A. 1/6

B. 5/12

C. 1/2

*Please show the steps*

Answer 1

First, can you find what's the probability that she'll get a song that she likes randomly off of CD1? Then, same thing for CD2?

Answer 2

It'll be 1/2 and 1/3 right?

Answer 3

Exactly, so, we know there's a 1/2 chance that she'll like the first song, and there's a 1/3 chance that she'll like the second. So for her to like both, you have 1/2 * 1/3 chance of this happening. Do you understand why it's a multiplication here?

Answer 4

Oh! Okay I see. I multiply the probabilities of both of the two that she likes to find the probability of two random songs! alright I got it! Thank You! : )