01queens25
01queens25 01queens25
  • 28-05-2022
  • Mathematics
contestada

Does anyone know how to do this Venn diagram question?

Does anyone know how to do this Venn diagram question class=

Respuesta :

profarouk profarouk
  • 28-05-2022

Answer:

[tex]\frac{8}{30}[/tex]

Step-by-step explanation:

Card(AUBUC)= Card(A)+card(B)+card(C)-Card (A∩B) -Card( A∩C)-Card(B∩C) +Card(A∩B∩C)

= 21 + 14 + 15 - 10 - 8 - 4 + 2

= 30

Then

Card(AUBUC) = 30

Card( A∩C) = 2 + 6 = 8

[tex]p\left( A\cap C\right) =\frac{card\left( A\cap C \right) }{card\left( A\cup B\cup C \right) }[/tex]

               [tex]=\frac{8}{30}[/tex]

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