Using it's concept, it is found that the probability that three randomly chosen students will all stay after school for extracurricular activities today is of [tex]\frac{1}{216}[/tex].
A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, for each student, one out of six rolls represent staying after school, hence there is a [tex]\frac{1}{6}[/tex] probability they stay after school. For the three students, the probability is given by:
[tex]p = \left(\frac{1}{6}\right)^3 = \frac{1}{216}[/tex]
More can be learned about probabilities at https://brainly.com/question/14398287
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