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Iteru [2.4K]
2 years ago
9

Find P (Freshman(Girl) Hint: P(A and B)

Mathematics
1 answer:
STatiana [176]2 years ago
6 0

Answer:

\sf \dfrac29

Step-by-step explanation:

From the table:

  • Total number of Girls = 18
  • Total number of students = 30
  • Total number of Girls who are Freshman = 4

\sf Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ possible \ outcomes}

\sf \implies P(Girl)=\dfrac{18}{30}

\sf \implies P(Freshman \cap Girl)=\dfrac{4}{30}

\begin{aligned}\sf P(Freshman|Girl)& = \sf\dfrac{P(Freshman \cap Girl)}{P(Girl)}\\\\ & = \sf \dfrac{4}{30} \div \dfrac{18}{30}\\\\ & \sf=\dfrac{4}{30} \times \dfrac{30}{18}\\\\ & = \sf \dfrac29\end{aligned}

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