There are 7 unsatisfied numbers : 1 ; 7 ; 11 ; 13 ; 17 ; 19 ; 23one of The number of satisfied numbers is : 25 - 7 = 18

The answer is : \(\dfrac{18}{25}\)

The numbers from 1 to 25 (total 25 numbers): 

+ Divisible by 2 are: \(2;4;6;8;10;12;14;16;18;20;22;24\left(12-numbers\right)\)

+ Divisible by 3 (but not divisible by 2) are: \(3;9;15;21\left(4-numbers\right)\)

+ Because \(4⋮2\) => The numbers divisible by 4 (but not divisible by 2 and 3) is: \(\varnothing\)

+ Divisible by 5 but not divisible by 2 and 3 is: \(5\) 

So the probability is: \(\dfrac{12+4+1}{25}=\dfrac{17}{25}\)