Question

a cd player holds 5 CDs and each disc has 12 songs. If the CDs are changed randomly, find the probability that your favorite song is played first as a fraction

Answer 1

The probability that your favorite song is played first is 1/60

Explanation:

We assume that all 5 CDs have different songs so that only one of CDs will have our favorite song.

Then The probability that the CD that contains the song comes first will be,

(since there are 5 CDs)

1/5

And that CD has 12 songs, the probability that our favorite song will play first is then,

1/12

The total probability of our favorite song playing will be the product of these two, so,

P = (1/5)(1/12) = 1/60

P = 1/60

The probability that your favorite song is played first is 1/60