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There are 12 boys and 13 girls in a class. If the teacher randomly chooses a student's name out of a hat, what is the probability it will be a girl?

Respuesta :

The probability of getting a girl's name is [tex]52%[/tex] 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 [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.

Learn more about probability here-https://brainly.com/question/14210034

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