Question

Solve the math problem 400 students are asked if they live in an apartment and have a pet: Apartment: 120 Both: 30 Pet: 90 The probability that a randomly selected student not living in an apartment has a pet is

299

likes1495 views

Eliseo

4.6

45 Answers

To find the probability that a randomly selected student not living in an apartment has a pet, you can use conditional probability.
The notation for this probability is \( P(\text{Pet | Not Apartment}) \) , and it is calculated as the number of students with both a pet and not living in an apartment divided by the total number of students not living in an apartment.
Given:
- Students living in an apartment with a pet: 30
- Students not living in an apartment with a pet: \(90 - 30 = 60\) (since there are 90 students with a pet and 30 of them live in an apartment)
Now, calculate the probability:
\[ P(\text{Pet | Not Apartment}) = \frac{\text{Number of students with a pet and not living in an apartment}}{\text{Total number of students not living in an apartment}} \]
\[ P(\text{Pet | Not Apartment}) = \frac{60}{400 - 120} \]
\[ P(\text{Pet | Not Apartment}) = \frac{60}{280} \]
Now, simplify the fraction if possible.
\frac{60}{280}=\frac{3}{14}
So, the probability that a randomly selected student not living in an apartment has a pet is \( \frac{3}{14} \)

Frequently asked questions (FAQs)

Differentiate the function f(x) = sin(2x)cos(3x) with respect to x.

+

What is the period of the trigonometric function f(x) = 2cos(3x) - sin(4x)?

+

Find the value of sin(60°) cos(45°) + cos(30°) tan(75°) - sec(120°) csc(150°) when rounded to two decimal places.

+

New questions in Mathematics