The probability that the chosen will be a multiple of 5 between 1 and 15 is [tex]\frac{2}{13}[/tex].
Solution:
Given data:
Number between 1 and 15 is 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13 and 14.
Total numbers between 1 and 15 = 13
N(S) = 13
Multiple of 5 between 1 and 15 = 5, 10
Number of multiples of 5 between 1 and 15 = 2
N(A) = 2
Probability of multiple of 5 between 1 and 15:
[tex]$P(A)=\frac{N(A)}{N(S)}[/tex]
[tex]$P(A)=\frac{2}{13}[/tex]
The probability that the chosen will be a multiple of 5 between 1 and 15 is [tex]\frac{2}{13}[/tex].