Question

Does anyone know how to do this Venn diagram question?

Answer 1

`(8)/(30)`

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

`p\left( A\cap C\right) =(card\left( A\cap C \right) )/(card\left( A\cup B\cup C \right) )`

`=(8)/(30)`