ANSWER
[tex]P(E)=\frac{1}{2} [/tex]
EXPLANATION
From the given information, Elena chooses a number from 1 to 10.
The sample space is
S={1,2,3,4,5,6,7,8,9,10}
n(S)=10
The numbers greater than 5 are:
E={6,7,8,9,10}
n(E)=5
The probability that, she chooses a number greater than 5 is:
[tex]P(E) = \frac{n(E)}{n(S)} [/tex]
Substitute the values,
[tex]P(E) = \frac{5}{10} [/tex]
[tex]P(E) = \frac{1}{2} [/tex]
