tashabaha12
Answered

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Find P (Freshman(Girl) Hint: P(A and B)
P(B)
Classroom of Students
Boys Girls
Freshman 4 4 8
Sophomore 5 7 12
Junior 2 3 5
Senior 1
4 5
12 18
Reduce your fraction to lowest terms.
Enter the number that belongs in the green box.

Find P FreshmanGirl Hint PA And B PB Classroom Of Students Boys Girls Freshman 4 4 8 Sophomore 5 7 12 Junior 2 3 5 Senior 1 4 5 12 18 Reduce Your Fraction To Lo class=

Sagot :

semsee45

Answer:

[tex]\sf \dfrac29[/tex]

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

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

[tex]\sf \implies P(Girl)=\dfrac{18}{30}[/tex]

[tex]\sf \implies P(Freshman \cap Girl)=\dfrac{4}{30}[/tex]

[tex]\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}[/tex]

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