60\% of a sports club's members are women and the remainder are men. This sports club offers the opportunity to play tennis or cricket. Every member plays exactly one of the two sports. $\frac { 2 } { 5 }$ of the male members of the club play cricket; $\frac { 2 } { 3 }$ of the cricketing members of the club are women. What is the probability that a member of the club, chosen at random, is a woman who plays tennis? A $\frac { 1 } { 5 }$ B $\frac { 7 } { 25 }$ C $\frac { 1 } { 3 }$ D $\frac { 11 } { 25 }$ E $\frac { 3 } { 5 }$
& B & 7 & C
60\% of a sports club's members are women and the remainder are men.
This sports club offers the opportunity to play tennis or cricket. Every member plays exactly one of the two sports.
$\frac { 2 } { 5 }$ of the male members of the club play cricket;
$\frac { 2 } { 3 }$ of the cricketing members of the club are women.
What is the probability that a member of the club, chosen at random, is a woman who plays tennis?
A $\frac { 1 } { 5 }$
B $\frac { 7 } { 25 }$
C $\frac { 1 } { 3 }$
D $\frac { 11 } { 25 }$
E $\frac { 3 } { 5 }$