A-LevelMathematicsProbability and statistics9709/61 · May/June 2019 · Q23 Marks
Jameel has 5 plums and 3 apricots in a box. Rosa has x plums and 6 apricots in a box. One fruit is chosen at random from Jameel's box and one fruit is chosen at random from Rosa's box. The probability that both fruits chosen are plums is ¼. Write down an equation in x and hence find x.
- (a)Jameel has 5 plums and 3 apricots in a box. Rosa has x plums and 6 apricots in a box. One fruit is chosen at random from Jameel's box and one fruit is chosen at random from Rosa's box. The probability that both fruits chosen are plums is ¼. Write down an equation in x and hence find x.[3]
Mark scheme
Marking points from the official mark scheme (May/June 2019). The mark or mark type is shown in brackets.
- [3] Jameel: P(plum) = 5 / 8 Rosa: P(plum) = x / (x+6). Their 2 probabilities for P(plum) multiplied and equated to 1/4. 5 / 8 × x / (x+6) = 1 / 4. Correct equation oe. (x =) 4. SC correct answer with no appropriate equations i.e. common sense B1
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