O-LevelMathematicsProbability4024/12 · May/June 2016 · Q204 Marks
A bag contains 10 counters of which 8 are blue and 2 are white. Two counters are taken from the bag at random without replacement.
- (a)Complete the tree diagram to show the possible outcomes and their probabilities. [Figure 20.1][1]
- (b)(i)Find, as a fraction, the probability that both counters are blue,[1]
- (b)(ii)Find, as a fraction, the probability that one counter is blue and the other is white.[2]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (May/June 2016). The mark or mark type is shown in brackets.
- [1] (a) 2/9, 8/9, 1/9, 7/9 correctly positioned
- [1*] (b) (i) 56/90 oe
- [2ft*] (b) (ii) 32/90 oe M1 for 8/10 * 2/9 + 2/10 * 8/9
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