Answer:
The probability is 0.20 or 20%
Explanation:
we know that
The probability of an event is the ratio of the size of the event space to the size of the sample space.
The size of the sample space is the total number of possible outcomes
The event space is the number of outcomes in the event you are interested in.
so
Let
x------> size of the event space
y-----> size of the sample space
so
[tex]P=\frac{x}{y}[/tex]
In this problem we have that
Multiple of 5 between 1 and 15 = 5, 10,15
so
[tex]x=3[/tex]
Total numbers between 1 and 15=15
so
[tex]y=15[/tex]
substitute
[tex]P=\frac{3}{15}=0.20[/tex]
Convert to percentage
[tex]P=0.20(100)=20\%[/tex]