Question

During the week , 74 % of tv watchers use the streaming service Netflix . 36 % of TV watchers use the streaming service Hulu and 21 % use both Netflix and Hulu streaming services during the week . What is the probability of choosing a tv watcher who uses Netflix or Hulu ? Round to four decimals , as needed . Provide your answer below

Answer 1

The probability of choosing a TV watcher who uses either Netflix or Hulu is calculated using the principle of inclusion and exclusion, giving a result of 0.8900, or 89%, when rounded to four decimal places.

Step-by-step explanation:

The student has asked about calculating the probability of choosing a TV watcher who uses either of the streaming services Netflix or Hulu. To solve this, we need to use the principle of inclusion and exclusion in probability.

First, we find the sum of the individual probabilities of using Netflix and Hulu: 74% for Netflix and 36% for Hulu. Then, we subtract the probability of using both, which is 21%, since those users are counted twice when we add the individual probabilities.

So the calculation is as follows:

Probability of using Netflix or Hulu = Probability of using Netflix + Probability of using Hulu - Probability of using both

Probability of using Netflix or Hulu = 0.74 + 0.36 - 0.21 = 0.89 or 89%

Therefore, the probability of choosing a TV watcher who uses either Netflix or Hulu is 0.8900 when rounded to four decimal places.