santiago creates a playlist of latin dance music. the playlist contains bachata, salsa, and mambo tracks, as…

santiago creates a playlist of latin dance music. the playlist contains bachata, salsa, and mambo tracks, as shown in the table. santiago puts the playlist on shuffle mode. what is the probability that the first track he hears is a salsa track? type of music number of tracks bachata 5 salsa 8 mambo 7

santiago creates a playlist of latin dance music. the playlist contains bachata, salsa, and mambo tracks, as shown in the table. santiago puts the playlist on shuffle mode. what is the probability that the first track he hears is a salsa track? type of music number of tracks bachata 5 salsa 8 mambo 7

Answer

Explanation:

Step1: Calculate total number of tracks

$5 + 8+7=20$

Step2: Calculate probability of salsa track

The probability $P$ of an event is the number of favorable outcomes divided by the total number of outcomes. The number of favorable outcomes (salsa tracks) is 8, and the total number of outcomes (total tracks) is 20. So $P=\frac{8}{20}=\frac{2}{5}$

Answer:

$\frac{2}{5}$