From the diagram you can see that [tex] Pr(A)=0.5 [/tex] and [tex] Pr(C|A)=0.4 [/tex].
Use formula [tex] Pr(A\cap C)=Pr(A)\cdot Pr(C|A) [/tex] for calculating [tex] Pr(A\cap C):[/tex]
[tex] Pr(A\cap C)=0.5\cdot 0.4=0.2 [/tex].
Answer: [tex] Pr(A\cap C)=0.2 [/tex].
