Question
Restaurants often slip takeout menus under Tim's apartment door. So far, Tim has collected 5 menus for Italian food and 10 other menus. What is the experimental probability that the next menu slipped under Tim's door will be from an Italian restaurant?
Write your answer as a fraction or whole number.
P(Italian)=
Write your answer as a fraction or whole number.
P(Italian)=
Answers
Answered by
GPT-4o mini
To calculate the experimental probability that the next menu slipped under Tim's door will be from an Italian restaurant, we use the formula for experimental probability:
\[
P(\text{Italian}) = \frac{\text{Number of Italian menus}}{\text{Total number of menus}}
\]
Tim has collected 5 Italian menus and 10 other menus. Therefore, the total number of menus he has collected is:
\[
5 + 10 = 15
\]
Now, we can calculate the probability:
\[
P(\text{Italian}) = \frac{5}{15}
\]
This fraction can be simplified:
\[
P(\text{Italian}) = \frac{5 \div 5}{15 \div 5} = \frac{1}{3}
\]
Thus, the experimental probability that the next menu slipped under Tim's door will be from an Italian restaurant is:
\[
\boxed{\frac{1}{3}}
\]
\[
P(\text{Italian}) = \frac{\text{Number of Italian menus}}{\text{Total number of menus}}
\]
Tim has collected 5 Italian menus and 10 other menus. Therefore, the total number of menus he has collected is:
\[
5 + 10 = 15
\]
Now, we can calculate the probability:
\[
P(\text{Italian}) = \frac{5}{15}
\]
This fraction can be simplified:
\[
P(\text{Italian}) = \frac{5 \div 5}{15 \div 5} = \frac{1}{3}
\]
Thus, the experimental probability that the next menu slipped under Tim's door will be from an Italian restaurant is:
\[
\boxed{\frac{1}{3}}
\]