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vredina [299]
2 years ago
13

[50 points!]

Mathematics
2 answers:
Ivan2 years ago
7 0

Answer:

\sf \dfrac13

Step-by-step explanation:

From the table:

  • Total number of Boys = 12
  • Total number of students = 30
  • Total number of Boys 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(Boy)=\dfrac{12}{30}

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

\begin{aligned}\sf P(Freshman|Boy) & = \sf\dfrac{P(Freshman \cap Boy)}{P(Boy)}\\\\ & = \sf\dfrac{4}{30} \div \dfrac{12}{30}\\\\ & = \sf\dfrac{4}{30}\times \dfrac{30}{12}\\\\ & = \sf \dfrac{4}{12}\\\\ & = \sf\dfrac{1}{3}\end{aligned}

marshall27 [118]2 years ago
4 0

Answer:

1/3

Explanation:

P(Freshman | Boy)

  • Freshman = 4
  • Boy = 12

⇒ Probability = Number of favorable outcomes ÷ Total number of possible outcomes

  • P(Freshman | Boy) = freshman/total boys
  • P(Freshman | Boy) = 4/12
  • P(Freshman | Boy) = 1/3
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