tashabaha12
contestada

[50 points!]

Find P (Freshman | Boy)

Hint:
P(A and B)/P(B)

Classroom of Students:
Boys Girls
Freshman 4 4 8
Sophomore 57 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.

50 points Find P Freshman Boy Hint PA and BPB Classroom of Students Boys Girls Freshman 4 4 8 Sophomore 57 12 Junior 2 3 5 Senior 1 4 5 12 18 Reduce your fracti class=

Respuesta :

fieryanswererft

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
semsee45

Answer:

[tex]\sf \dfrac13[/tex]

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

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

[tex]\sf \implies P(Boy)=\dfrac{12}{30}[/tex]

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

[tex]\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}[/tex]

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