Question 7 — IGCSE 0580 March 2023 Paper 42
Cambridge IGCSE Mathematics 0580, Extended tier, calculator. Topic: Numbers · Sets and Venn Diagram (non calculator). Worth 9 marks.
Open in interactive question bank →
Question text
7 = {students in a class} P = {students who study Physics} C = {students who study Chemistry}
n() = 24 n(P) = 17 n(C) = 14 n(PkC) = 9
(a) Complete the Venn diagram.
(cid:31)
P C
9
............. .............
.............
[2]
(b) (i) Find n(PkCl).
................................................. [1]
(ii) Find n(PjCl).
................................................. [1]
(c) Two students are picked from the class at random.
Find the probability that one student studies both subjects and one student studies Chemistry but
not Physics.
................................................. [3]
(d) Two of the students who study Physics are picked at random.
Find the probability that they both study Chemistry.
................................................. [2]
© UCLES 2023 0580/42/F/M/23
13
Mark scheme
