O-LevelMathematicsProbability4024/22 · Oct/Nov 2021 · Q67 Marks
Asma has this fair 8-sided spinner. [Figure showing an 8-sided spinner with sectors labeled 1, 2, 1, 2, 6, 1, 2, 1] Leon has 7 red counters, 6 green counters and 3 white counters.
- (a)(i)(a)She spins the spinner once. Find the probability that the score is 6,[1]
- (a)(i)(b)not 2.[1]
- (a)(ii)Asma spins the spinner twice. Find the probability that she scores two 2s.[2]
- (b)He takes two counters at random, without replacement. Find the probability that the two counters are the same colour.[3]
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Mark scheme
Marking points from the official mark scheme (Oct/Nov 2021). The mark or mark type is shown in brackets.
- [1]
- [1]
- [2] M1 for 3/8 × 3/8 oe
- [3] M2 for (7/16 × 6/15) + (6/16 × 5/15) + (3/16 × 2/15) oe OR M1 for (7/16 × 6/15) or (6/16 × 5/15) or (3/16 × 2/15) After 0 scored, SC1 for answer 47/128
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