Answer:
The probability is [tex]\frac{5}{9}[/tex]
Step-by-step explanation:
The total number of students are 200.
number of full timers is 110 and number of part timers is 90.
number of male students is 90 and number of female students is 110.
Let the probability of part timers be P(B).
P(B) = [tex]\frac{90}{200}[/tex] = [tex]\frac{9}{20}[/tex]
Let the probability of female part timers be P(A)
P(A) = [tex]\frac{50}{200} = \frac{5}{20}[/tex]
now, the final probability is
= [tex]\frac{P(A)}{P(B)}[/tex]
=[tex]\frac{5/20}{9/20} = \frac{5}{9}[/tex]