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I am not the best at word problems can you please help.Jesse has 127 songs on a playlist. He's categorized them in the following manner: 22 blues, 14 gospel, 17 classical, 6 hip hop, 25 jazz, 11 rap, and 32 pop. If Jesse 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.

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ANSWER

0.110236

EXPLANATION

When the playlist starts to play, there are 127 songs to choose from and 14 of them are gospel. The probability of event X (the first song played is gospel) is,

[tex]P(X)=\frac{\#favorable.outcomes}{\#total.outcomes}=\frac{14}{127}\approx0.110236[/tex]

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