Greg's MP3 player has 6 classical songs, 7 rock songs, and 9 rap songs. What is the probability of randomly selecting a song that is not a rap song? Round the answer to 2 decimal places.

Probability and StatisticsProbabilityConditional ProbabilityFractionsRounding
2025/3/21

1. Problem Description

Greg's MP3 player has 6 classical songs, 7 rock songs, and 9 rap songs. What is the probability of randomly selecting a song that is not a rap song? Round the answer to 2 decimal places.

2. Solution Steps

First, calculate the total number of songs on the MP3 player:
Total=Classical+Rock+RapTotal = Classical + Rock + Rap
Total=6+7+9=22Total = 6 + 7 + 9 = 22
Next, calculate the number of songs that are not rap songs:
NotRap=Classical+RockNotRap = Classical + Rock
NotRap=6+7=13NotRap = 6 + 7 = 13
Then, calculate the probability of selecting a song that is not a rap song:
P(NotRap)=NotRapTotalP(NotRap) = \frac{NotRap}{Total}
P(NotRap)=1322P(NotRap) = \frac{13}{22}
Finally, convert the fraction to a decimal and round to 2 decimal places:
P(NotRap)=13220.590909...P(NotRap) = \frac{13}{22} \approx 0.590909...
P(NotRap)0.59P(NotRap) \approx 0.59

3. Final Answer

0.59

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