9 A bag contains 5 white balls and 3 black balls. (a) (i) Marwan picks a ball from the bag at random and then replaces it. Find the probability that the ball is white. ................................................. [1] (ii) Naomi picks a ball from the bag at random and then replaces it. She repeats this 120 times. Find the number of times the ball is expected to be white. ................................................. [1] (b) Oscar picks a ball from the bag at random. He replaces it and then picks a second ball from the bag at random. (i) Find the probability that the balls are the same colour. ................................................. [3] (ii) Find the probability that the balls are not the same colour. ................................................. [1] (c) Priya picks 3 of the 8 balls from the bag at random without replacement. Find the probability that she picks two white balls and one black ball. ................................................. [3] (cid:300)(cid:219)(cid:266)(cid:174)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:250)(cid:183)(cid:256)(cid:215) [Turn over © UCLES 2024 (cid:300)(cid:226)(cid:230)(cid:251)(cid:213)(cid:289)(cid:287)(cid:284)(cid:206)(cid:260)(cid:268)(cid:194)(cid:200)(cid:225)(cid:195)(cid:209)(cid:281)(cid:258) 0580/43/O/N/24 (cid:293)(cid:197)(cid:181)(cid:213)(cid:245)(cid:181)(cid:293)(cid:245)(cid:245)(cid:293)(cid:197)(cid:197)(cid:197)(cid:277)(cid:197)(cid:277)(cid:181)(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 * 0000800000014 * 14 (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:5)(cid:44) NIGRAM