A smart playlist contains 100 songs. Among these, 45 are Rock, 40 are from the 90s, and 35 are live recordings. There are 15 live Rock songs, 12 live 90s songs, and 18 90s Rock songs. Exactly 5 songs are live 90s Rock. What is the probability that a randomly played song is none of these (neither Rock, nor 90s, nor live)?