ANSWER
The correct answer is C
EXPLANATION
The conditional probability, P(A|B) means,, probability of A given that B has occurred.
It is given by the formula:[tex]P(A|B)=\frac{P(A\cap B)}{P(B)}[/tex]
From the Venn diagram, [tex]A\cap =[/tex]{Ian,Ella} and B={Lan,Ella,Micky,Mai, Marcus}
[tex]P(A\cap B)=\frac{2}{10}[/tex] and [tex]P(B)=\frac{5}{10}[/tex]
This implies that:
[tex]P(A|B)=\frac{\frac{2}{10} }{\frac{5}{10} } =\frac{2}{10}\times\frac{10}{5}=\frac{2}{5}[/tex]
The correct answer is C
