[tex]{\red{\underline{\underline{\tt{\large{SOLUTION:}}}}}}[/tex]
Numbers from 1-15. The sample space:
[tex]\implies[/tex] S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}
[tex]\implies[/tex] n(S) = 15
Let A be the event that number selected randomly from the numbers 1 to 15.
Event A:
Odd numbers from 1-15. The sample space:
[tex]\implies[/tex] A = {1, 3, 5, 7, 9, 11, 13, 15}
[tex]\implies[/tex] n(A) = 8
Now, as we know that;
[tex] \star \: {\underline{\boxed{\frak{\pmb{\quad Probability \: p(A) = \frac{n(A)}{n(S)} }}}}}[/tex]
Placing values,
[tex]\implies\sf{p(A) = \frac{n(A)}{n(S)} }[/tex]
[tex]\implies\sf{p(A) = \frac{8}{15} } \: \red \star[/tex]
