The probability of getting a girl's name is [tex]52%[/tex] percent.
Probability deals with the occurence of a random event and is calculated by dividing the total number of events by the total number of possible outcomes.
First, find the possible outcomes.
In the class, there are [tex]12[/tex] boys and [tex]13[/tex] girls.
The teacher randomly chooses a student's name out of a hat.
So, the possible outcomes [tex]=(12+13)=25[/tex]
Let, [tex]S[/tex] be the sample space.
Then, [tex]n(S)=25[/tex]
Let, [tex]E=[/tex]the event of getting a girl's name
Then, [tex]n(E)=13[/tex]
Let, [tex]P[/tex] be the probability of [tex]E[/tex].
Then, [tex]P(E)=\frac{n(E)}{n(S)}=\frac{13}{25}=52[/tex] percent.
Hence, the probability of getting a girl's name is [tex]52[/tex] percent.
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