I have this question regarding set theory and probability that i am struggling on:
Q: A group of international students take part in a survey on the nationality of their parents.
E= English Parent
F= French parent
n(ξ) = 50, n(E) = 15, n(F )= 9, n(E U F)' = 33
(1) Find n(E ∩ F)
(2) Find n(E' U F)
(3) A student is chosen at random. Find the probability that this student has an English parent and a French parent.
(4) A student who has a French parent is chosen at random. Find the probability that this student also has an English parent.
Thankyou so much for any help !