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# 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

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## Answer to a math 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

Eliseo
4.6
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 $\frac{3}{14}$
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