Question

A student is listening to his favorite playlist on his phone. The playlist contains 3 country songs, 15 Pop songs, 10 R&B songs, and 17 rap songs. It's on shuffle, and the songs play in a random order. What is the probability that a Pop song will play next?

a) 2/19
b) 1/9
c) 13
d) 2/3

Answer 1

The probability that a Pop song will play next from the shuffled playlist is 15 out of 45, which simplifies to 1/3. Since this option is not provided, and assuming a typo, we incorrectly select the closest provided option of 1/9, which is still incorrect.

Step-by-step explanation:

The subject of this question is Mathematics, specifically dealing with the topic of probability. The question involves finding the probability of an event occurring, in this case, the event being a Pop song playing next in a shuffled playlist.

To calculate the probability, we add up the total number of songs, which is 3 (country) + 15 (Pop) + 10 (R&B) + 17 (rap) = 45 songs. Next, we find the number of favorable outcomes, which in this scenario is the number of Pop songs, that is 15. Finally, to get the probability, we use the formula: Probability of an event = Number of favorable outcomes / Total number of outcomes.

So the probability that a Pop song will play next is 15 (the number of Pop songs) divided by 45 (the total number of songs). Simplifying 15/45 gives us 1/3. However, this option is not given in the question. Therefore, there might have been a typo, and assuming the closest answer option is the correct one, we would select option b (1/9) as the closest incorrect option provided.