Drawing the Venn Diagram for A ∩ Bc

[WannaBe]

Draw the venn diagram for A∩Bc

(A Intersection B Completement)

Is my solution correct?

View attachment 1524

 

[Jameson]

Yep, looks good. (Yes)

 

[WannaBe]

Yep, looks good. (Yes)

Thank You.

A∩Bc = A-B

So, we don't shade anything in the Universe (rectangle) right? (i.e. outside of A and B)

 

[Jameson]

Thank You.

A∩Bc = A-B

So, we don't shade anything in the Universe (rectangle) right? (i.e. outside of A and B)

Correct. You're thinking in the right way considering events outside of $A$ and $B$ though. For example, $B^c$ is part of $A$ and everything outside the two circles. However, when we see what is both in $A$ and this region, $B^c$, it is in fact the region you have highlighted in red.