22 % G H 8 13 7 5 % = {number of students in a class} G = {number of students who study geography} H = {number of students who study history} The Venn diagram shows information about the 33 students in a class. (a) One of the students in the class is picked at random. Find the probability that this student (i) does not study geography and does not study history ................................................. [1] (ii) studies geography and studies history. ................................................. [1] (b) Two of the students who study history are picked at random. Find the probability that one student also studies geography and one student does not study geography . ................................................. [3] (cid:300)(cid:213)(cid:266)(cid:174)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:250)(cid:181)(cid:260)(cid:215) © UCLES 2025 (cid:300)(cid:221)(cid:287)(cid:251)(cid:217)(cid:293)(cid:278)(cid:252)(cid:233)(cid:260)(cid:248)(cid:294)(cid:279)(cid:182)(cid:255)(cid:210)(cid:267)(cid:258) 0580/42/M/J/25 (cid:293)(cid:229)(cid:293)(cid:277)(cid:181)(cid:181)(cid:197)(cid:277)(cid:245)(cid:277)(cid:245)(cid:261)(cid:197)(cid:213)(cid:293)(cid:181)(cid:293)(cid:213) M SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD * 0000800000017 * 17 (cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:8)(cid:44) NIGRAM DFD