Question
Hunter made cookies for a bake sale. So far, he has sold 16 cookies in the shape of a dog and 74 cookies in other shapes. What is the experimental probability that the next cookie sold will be in the shape of a dog?
Write your answer as a fraction or whole number.
P(dog)=
Write your answer as a fraction or whole number.
P(dog)=
Answers
GPT-4o mini
To calculate the experimental probability that the next cookie sold will be in the shape of a dog, we first need to determine the total number of cookies sold.
Hunter has sold:
- 16 cookies in the shape of a dog
- 74 cookies in other shapes
Total number of cookies sold = 16 + 74 = 90 cookies.
Now, the probability \( P(dog) \) that the next cookie sold will be in the shape of a dog is the number of dog-shaped cookies divided by the total number of cookies sold.
\[
P(dog) = \frac{\text{Number of dog-shaped cookies}}{\text{Total number of cookies sold}} = \frac{16}{90}
\]
Now we can simplify the fraction:
\[
P(dog) = \frac{16 \div 2}{90 \div 2} = \frac{8}{45}
\]
Therefore, the experimental probability that the next cookie sold will be in the shape of a dog is:
\[
P(dog) = \frac{8}{45}
\]
Hunter has sold:
- 16 cookies in the shape of a dog
- 74 cookies in other shapes
Total number of cookies sold = 16 + 74 = 90 cookies.
Now, the probability \( P(dog) \) that the next cookie sold will be in the shape of a dog is the number of dog-shaped cookies divided by the total number of cookies sold.
\[
P(dog) = \frac{\text{Number of dog-shaped cookies}}{\text{Total number of cookies sold}} = \frac{16}{90}
\]
Now we can simplify the fraction:
\[
P(dog) = \frac{16 \div 2}{90 \div 2} = \frac{8}{45}
\]
Therefore, the experimental probability that the next cookie sold will be in the shape of a dog is:
\[
P(dog) = \frac{8}{45}
\]