Question

After surveying students in her homeroom, katie decided to use a number cube to predict the probability that a randomly chosen student in her school planned to stay after school today for extracurricular activities. in katie’s simulation, a roll of 1 represents staying after school, while rolls of 2, 3, 4, 5, or 6 represent leaving school at the end of classes. according to katie’s model, what is the probability that three randomly chosen students will all stay after school for extracurricular activities today? startfraction 1 over 729 endfraction startfraction 1 over 216 endfraction startfraction 1 over 18 endfraction startfraction 1 over 6 endfraction

Answer 1

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 $\frac{1}{216}$.

What is a probability?

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 $\frac{1}{6}$ probability they stay after school. For the three students, the probability is given by:

$p = \left(\frac{1}{6}\right)^3 = \frac{1}{216}$

More can be learned about probabilities at brainly.com/question/14398287

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