StudentAidProbability & Statistics 1 — Variant 1
A Level Mathematics · 9709/51 · May/June 2020
Questions
3 of 7 questions shown here, checked against the paper. The others are in the PDF above — they contain diagrams or maths we could not yet verify, and we would rather show you the original than a transcription we are not sure of.
2
2(a)
[2]
Find the number of different arrangements that can be made from the letters of the word JEWELLERY in which the three Es are together and the two Ls are together.
2(b)
[4]
Find the number of different arrangements that can be made from the letters of the word JEWELLERY in which the two Ls are not next to each other.
4
[4]
In a music competition, there are pianists, guitarists and violinists. of these musicians will be selected to go through to the final. How many different selections of finalists can be made if there must be at least pianists, at least guitarist and more violinists than guitarists?
5
On Mondays, Rani cooks her evening meal. She has a pizza, a burger or a curry with probabilities , , respectively. When she cooks a pizza, Rani has some fruit with probability . When she cooks a burger, she has some fruit with probability . When she cooks a curry, she never has any fruit.
5(a)
[2]
Draw a fully labelled tree diagram to represent this information.
5(b)
[2]
Find the probability that Rani has some fruit.
5(c)
[4]
Find the probability that Rani does not have a burger given that she does not have any fruit.
Published by Cambridge Assessment International Education. Reproduced for study use.