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Grace [21]
3 years ago
7

PLEASE HELP ASAP!! I’ll BRAINLEST!!! 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?
Mathematics
2 answers:
mash [69]3 years ago
7 0

Answer:

\dfrac{1}{216}

Step-by-step explanation:

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. Thus,

  • the probability of staying at school =\frac{1}{6} (only one of six possible outcomes is favorable)
  • the probability of leaving school =\frac{5}{6} (five of six possible outcomes are favorable)

The probability that three randomly chosen students will all stay after school for extracurricular activities today is

\dfrac{1}{6}\cdot \dfrac{1}{6}\cdot \dfrac{1}{6}=\dfrac{1}{216}

Westkost [7]3 years ago
5 0

Answer:

The answer is indeed 1/216

Step-by-step explanation:

In Katie's simulation, there is a 1/6 chance that any given student will stay after. The chance that three randomly chosen students will all stay after is thus: 1/6 × 1/6 × 1/6 (or (1/6)³). which turns out to be 1/216

Anyone saying that it's A is wrong. You can't take 1/36 and square it, you still have to multiply it by 1/6 obviously...

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