Carter has 223 songs on a playlist. He's categorized them in the following manner: 2525 classical, 3838 jazz, 2929 Latin American, 2020 rock, 1111 pop, 4545 gospel, and 5555 folk. If Carter begins...

Carter has 223 songs on a playlist. He's categorized them in the following manner: 2525 classical, 3838 jazz, 2929 Latin American, 2020 rock, 1111 pop, 4545 gospel, and 5555 folk. If Carter begins listening to his playlist on shuffle, what is the probability that the first song played is a gospel song? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.