The school has240 students:120 play football F,40 play baseball B,90 play football but not baseball. The universal set is all students.

(a) Complete the Venn diagram. [2]

(b) Find \(n(F^\prime\cap B^\prime)\). [1]

(c) Choose a student at random. Find the probability of baseball but not football. [1]

(d) Choose two baseball players at random. Find the probability that both also play football. [3]