The probability of getting a girl's name is \(52%\) percent.
Probability
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.
How to find the probability of getting a girl's name from the mixed students?
First, find the possible outcomes.
In the class, there are \(12\) boys and \(13\) girls.
The teacher randomly chooses a student's name out of a hat.
So, the possible outcomes \(=(12+13)=25\)
Let, \(S\) be the sample space.
Then, \(n(S)=25\)
Let, \(E=\)the event of getting a girl's name
Then, \(n(E)=13\)
Let, \(P\) be the probability of \(E\).
Then, \(P(E)=\frac{n(E)}{n(S)}=\frac{13}{25}=52\) percent.
Hence, the probability of getting a girl's name is \(52\) percent.
Learn more about probability here-https://brainly.com/question/14210034
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