eliana enjoys listening to podcasts on a variety of topics, and she has many saved on her phone. she plays…

eliana enjoys listening to podcasts on a variety of topics, and she has many saved on her phone. she plays some on a cross - country road trip, in a random order. here are the topics she has listened to so far: cooking, mystery, sci - fi, mystery, history, mystery, cooking, sci - fi, mystery, sci - fi, cooking based on the data, what is the probability that the next podcast eliana listens to will be a cooking podcast? write your answer as a fraction or whole number.

eliana enjoys listening to podcasts on a variety of topics, and she has many saved on her phone. she plays some on a cross - country road trip, in a random order. here are the topics she has listened to so far: cooking, mystery, sci - fi, mystery, history, mystery, cooking, sci - fi, mystery, sci - fi, cooking based on the data, what is the probability that the next podcast eliana listens to will be a cooking podcast? write your answer as a fraction or whole number.

Answer

Explanation:

Step1: Count total podcasts

There are 11 podcasts in total (3 cooking + 5 mystery + 3 sci - fi + 1 history).

Step2: Count cooking podcasts

There are 3 cooking podcasts.

Step3: Calculate probability

The probability $P$ of listening to a cooking podcast is the number of cooking podcasts divided by the total number of podcasts. So $P=\frac{3}{11}$.

Answer:

$\frac{3}{11}$