(a)[1]
State how many students study both Economics and History.
(b)[1]
Calculate $n(E\cap H')$.
(c)[3]
Three students are chosen at random from the group. Find the probability that all of them study History.
Mathematics 4024 · O Level · Probability of combined events
Probability of combined events — practice question
In a sample of 22 students, they are asked whether they take Economics (E) or History (H). The Venn diagram gives these counts: E only = 7, E∩H = 5, H only = 4, neither = 6.