Given:
There are given that the total number of hats is 25.
Step-by-step explanation:
First, we need to find the number which is a multiple of 5 and 5:
So,
The number which is multiple of 5 is:
![5,10,15,20,25](https://img.qammunity.org/2023/formulas/mathematics/college/yzgrivrjdxpc7bgmk1u2n87cp2sinmc4ex.png)
And,
The number which is multiple of 6 is:
![6,12,18,24](https://img.qammunity.org/2023/formulas/mathematics/college/4p5ui203a3d2wvvb2gh44wevqyh6ojp2ud.png)
Now,
We can see that the total number which is a multiple of 5 is 5.
So,
The probability is:
![(5)/(25)=(1)/(5)](https://img.qammunity.org/2023/formulas/mathematics/college/zxy11njsiwtfah6k59l6w0zlxoxd6oxvx1.png)
And,
We can also see that the total number which is a multiple of 6 is 4:
So,
The probability is:
![(4)/(25)](https://img.qammunity.org/2023/formulas/mathematics/college/e82re1qk9tvv432xkkbrnncw7dmoj8t37q.png)
Now,
The probability that the slip of paper show a number that is multiple of 5 or 6 is:
![\begin{gathered} P=(1)/(5)*(4)/(25) \\ P=(4)/(125) \\ P=0.032 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/wd71rq4t44j1n692c8nem0n5glkllxtk13.png)
Final answer:
Hence, the probability is 0.032.