Given:
The total = 846.
The number of hot dogs sold at Tuesday night = 150.
Required:
We need to find the approximate probability of a person buying a hot dog and going to a Tuesday night game.
Step-by-step explanation:
The total possible outcomes = 846.
![n(S)=846](https://img.qammunity.org/2023/formulas/mathematics/high-school/vfw936byc9o7mbvlyzow1izvyecpumgxg7.png)
Let A be the given event.
The favourable outcomes = The number of hot dogs sold at Tuesday night = 150.
![n(A)=150](https://img.qammunity.org/2023/formulas/mathematics/high-school/6rqeq48iorlp0vu1mfl1y3vw8whdm85hct.png)
The approximate probability of a person buying a hot dog and going to a Tuesday night game.
![P=(n(A))/(n(S))*100](https://img.qammunity.org/2023/formulas/mathematics/high-school/lfmjm2zbh2fxcslvtwcdanjm0s0u4jm6ow.png)
![P=(150)/(846)*100](https://img.qammunity.org/2023/formulas/mathematics/high-school/c7gyqcqm5htviokh9wuuwtemjjbp7i9c5q.png)
![P=17.7](https://img.qammunity.org/2023/formulas/mathematics/high-school/p5jrs7ep8xag62ejdig2x4wbbk7r20uqj3.png)
![P=18\text{ \%}](https://img.qammunity.org/2023/formulas/mathematics/high-school/k8uvk15xwu9ueyt0vduu3i0uww759m74fs.png)
Final answer:
![P=18\text{ \%}](https://img.qammunity.org/2023/formulas/mathematics/high-school/k8uvk15xwu9ueyt0vduu3i0uww759m74fs.png)