O-LevelMathematicsProbability4024/12 · May/June 2023 · Q235 Marks
There are 10 cards in a set. Each card shows either a square or a triangle. Every shape on each card is either green or red. The table shows the number of cards of each type. Green Red Square 3 1 Triangle 4 2
- (a)Ken takes a card at random from the set, notes the colour and replaces it. He then takes a second card at random from the set, notes the colour and replaces it. Find the probability that both cards show a green shape.[2]
- (b)Irina takes two cards at random from the set of 10 without replacement. Find the probability that both cards show the same shape.[3]
Mark scheme
Marking points from the official mark scheme (May/June 2023). The mark or mark type is shown in brackets.
- 23(a) 49/100 oe
- 23(a) B1 for 7/10 oe seen
- 23(b) 42/90 oe
- 23(b) M2 for (4/10) × (3/9) + (6/10) × (5/9) oe
- 23(b) or M1 for one correct product seen (4/10) × (3/9) or (6/10) × (5/9)
- 23(b) If 0 scored, SC1 for answer 52/100 oe
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