Total number of students = 10
As we have to find
P(A/B) = Probability( A when B has happend)
P(A/B)= P(A intersection B)/P(B)
According to given figure only yolanda and Rob are in both club
Therefore,P(A intersection B) [tex]=\frac{2}{10}[/tex]
Number of student in karate club =6
P(B)[tex]=\frac{6}{10}[/tex]
P(A/B) [tex]=\frac{2}{10}[/tex] ÷ [tex]\frac{6}{10}[/tex]
Converting division into multiplication by reciprocating the term after division
P(A/B) [tex]=\frac{2}{10}[/tex] × [tex]\frac{10}{6}[/tex]
On solving we get ,
P(A/B) [tex]=\frac{2}{6}[/tex]
P(A/B)[tex]=\frac{1}{3}[/tex]
P(A/B) [tex]=0.33[/tex]
- hope this helps! -