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a teacher randomly selects students to answer questions during class. There are 14 boys and 12 girls in the class. Once the teacher selects a student, the teacher does not select that student again until all the other students have been selected. What is the probability that the teacher will select a boy to answer the first question and another boy to answer the second question?

Respuesta :

Using it's concept, it is found that the probability that the teacher will select a boy to answer the first question and another boy to answer the second question is of [tex]\frac{7}{25}[/tex].

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem:

  • Initially, out of 26 students, 14 are boys, hence the probability that the first student is a boy is of [tex]P(A) = \frac{14}{26} = \frac{7}{13}[/tex].
  • Then, supposing the first student is a boy, there will be 25 students, of which 13 are boys, hence the probability the second student is also a boy is given by [tex]P(B) = \frac{13}{25}[/tex].

Then:

[tex]p = P(A)P(B) = \frac{7}{13} \times \frac{13}{25} = \frac{7}{25}[/tex]

The probability that the teacher will select a boy to answer the first question and another boy to answer the second question is of [tex]\frac{7}{25}[/tex].

More can be learned about probabilities at https://brainly.com/question/15536019

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