a simple math question

Question

You choose two different songs on a music playlist at random. Out of 80 songs on the playlist, 36 are hip hop songs. The first song you choose is a hip hop song. What is the probability that the second song is also a hip hop song? Explain your reasoning.

Answer 1

Started with 80 songs, where 36 were hip hop.

First song you chose is a hip hop, which would have had probability of 35/80 = .4375.

BUT,... after this first selection, we have l less hip hop in the mix and 1 less out of the entire list.

Probability that second song is hip hop = (35-1) / (80-1) = 34/79 = .4304 (rounding to nearest 4 digits)