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Use the Venn diagram to calculate probabilities.
Which probabilities are correct?
Check all that apply.
P(A|C) = 2/3
P(C|B) = 8/27
P(A) = 31/59
P(C) = 3/7
P(B|A) = 13/27

Use the Venn diagram to calculate probabilities Which probabilities are correct Check all that apply PAC 23 PCB 827 PA 3159 PC 37 PBA 1327 class=

Respuesta :

Total number of elements in the set =59.

1)P(A|C) = P(A ∩ C) / P(C)  = [tex]\frac{14}{21}=\frac{2}{3}[/tex]

2)P(C|B) = P(C ∩ B) / P(B) =[tex]\frac{11}{27}[/tex]

3) P(A) =[tex]\frac{31}{59}.[/tex]

4)P(C) =[tex]\frac{21}{59}.[/tex]

5)P(B|A)=P(B ∩ A) / P(A)=[tex]\frac{13}{31}[/tex]

Options 1 and 3  are right.

adefioyelaoye

The probabilities which are correct include the following:

  • P(A|C) = 2/3
  • P(A) = 31/59

The total number of elements in the set = 59.

1)P(A|C) = P(A ∩ C) / P(C)  = 14/21 = 2/3

2)P(C|B) = P(C ∩ B) / P(B) = 11/27

3) P(A) = 31/59

4)P(C) = 21/59

5)P(B|A)=P(B ∩ A) / P(A)= 13/31

The options which correspond with the above results are therefore  1 and

3.

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