Given:
Black and White are 7.
Red and White are 9.
Black with Spots is 8.
Red with Spots is 5.
To find:
The probability of a puppy having no spots.
Step-by-step explanation:
We know that,
The formula of the probability of an event is,
![P(E)=\frac{Number\text{ of favourable outcomes}}{Total\text{ number of outcomes}}](https://img.qammunity.org/2023/formulas/mathematics/college/3y3pqartug4vvrjqlf0s1chrw2k6zuilne.png)
The number of puppies having no spots is,
![7+9=16](https://img.qammunity.org/2023/formulas/mathematics/college/xbj936mphdgwb4n2fryjegmsve0h0i0kjk.png)
The total number of puppies is,
![7+9+8+5=29](https://img.qammunity.org/2023/formulas/mathematics/college/qpidzk1120yz4tz3tgzx8jgumfodakdg8a.png)
Therefore, the probability is,
![(16)/(29)](https://img.qammunity.org/2023/formulas/mathematics/college/y9lvfby3b6b2hlutgn7zulkprfmef740hi.png)
Final answer:
The probability of a puppy having no spots is,
![(16)/(29)](https://img.qammunity.org/2023/formulas/mathematics/college/y9lvfby3b6b2hlutgn7zulkprfmef740hi.png)